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Finding the Fourth Proportional to 10,594.62, 15,898.08 and 4,751.24

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Solution

The fourth proportional to 10,594.62, 15,898.08 and 4,751.24 is: 7,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.62 : 15,898.08 = 4,751.24 : x
  2. Step 2: Convert to fraction form
    10,594.62/15,898.08 = 4,751.24/x
  3. Step 3: Cross multiply
    10,594.62x = 15,898.08 × 4,751.24
  4. Step 4: Simplify right side
    10,594.62x = 75,535,593.62
  5. Step 5: Solve for x
    x = 75,535,593.62/10,594.62
  6. Step 6: Final answer
    x = 7,129.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.