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Finding the Fourth Proportional to 10,502.01, 15,825.03 and 8,693.70

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Solution

The fourth proportional to 10,502.01, 15,825.03 and 8,693.70 is: 13,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.01 : 15,825.03 = 8,693.70 : x
  2. Step 2: Convert to fraction form
    10,502.01/15,825.03 = 8,693.70/x
  3. Step 3: Cross multiply
    10,502.01x = 15,825.03 × 8,693.70
  4. Step 4: Simplify right side
    10,502.01x = 137,578,063.31
  5. Step 5: Solve for x
    x = 137,578,063.31/10,502.01
  6. Step 6: Final answer
    x = 13,100.16

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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.