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Finding the Fourth Proportional to 10,598.68, 15,898.02 and 3,673.24

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Solution

The fourth proportional to 10,598.68, 15,898.02 and 3,673.24 is: 5,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.68 : 15,898.02 = 3,673.24 : x
  2. Step 2: Convert to fraction form
    10,598.68/15,898.02 = 3,673.24/x
  3. Step 3: Cross multiply
    10,598.68x = 15,898.02 × 3,673.24
  4. Step 4: Simplify right side
    10,598.68x = 58,397,242.98
  5. Step 5: Solve for x
    x = 58,397,242.98/10,598.68
  6. Step 6: Final answer
    x = 5,509.86

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