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Finding the Fourth Proportional to 10,502.60, 15,851.15 and 10,502.60

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Solution

The fourth proportional to 10,502.60, 15,851.15 and 10,502.60 is: 15,851.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.60 : 15,851.15 = 10,502.60 : x
  2. Step 2: Convert to fraction form
    10,502.60/15,851.15 = 10,502.60/x
  3. Step 3: Cross multiply
    10,502.60x = 15,851.15 × 10,502.60
  4. Step 4: Simplify right side
    10,502.60x = 166,478,287.99
  5. Step 5: Solve for x
    x = 166,478,287.99/10,502.60
  6. Step 6: Final answer
    x = 15,851.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.