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Finding the Fourth Proportional to 10,402.10, 15,598.41 and 3,004.80

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Solution

The fourth proportional to 10,402.10, 15,598.41 and 3,004.80 is: 4,505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.10 : 15,598.41 = 3,004.80 : x
  2. Step 2: Convert to fraction form
    10,402.10/15,598.41 = 3,004.80/x
  3. Step 3: Cross multiply
    10,402.10x = 15,598.41 × 3,004.80
  4. Step 4: Simplify right side
    10,402.10x = 46,870,024.38
  5. Step 5: Solve for x
    x = 46,870,024.38/10,402.10
  6. Step 6: Final answer
    x = 4,505.82

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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.