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Finding the Fourth Proportional to 10,402.56, 15,600.76 and 3,007.10

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Solution

The fourth proportional to 10,402.56, 15,600.76 and 3,007.10 is: 4,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.56 : 15,600.76 = 3,007.10 : x
  2. Step 2: Convert to fraction form
    10,402.56/15,600.76 = 3,007.10/x
  3. Step 3: Cross multiply
    10,402.56x = 15,600.76 × 3,007.10
  4. Step 4: Simplify right side
    10,402.56x = 46,913,045.40
  5. Step 5: Solve for x
    x = 46,913,045.40/10,402.56
  6. Step 6: Final answer
    x = 4,509.76

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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.