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Finding the Fourth Proportional to 7,502.60, 10,358 and 5,148.20

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Solution

The fourth proportional to 7,502.60, 10,358 and 5,148.20 is: 7,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.60 : 10,358 = 5,148.20 : x
  2. Step 2: Convert to fraction form
    7,502.60/10,358 = 5,148.20/x
  3. Step 3: Cross multiply
    7,502.60x = 10,358 × 5,148.20
  4. Step 4: Simplify right side
    7,502.60x = 53,325,055.60
  5. Step 5: Solve for x
    x = 53,325,055.60/7,502.60
  6. Step 6: Final answer
    x = 7,107.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.