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Finding the Fourth Proportional to 10,330.77, 15,496.32 and 5,410.02

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Solution

The fourth proportional to 10,330.77, 15,496.32 and 5,410.02 is: 8,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330.77 : 15,496.32 = 5,410.02 : x
  2. Step 2: Convert to fraction form
    10,330.77/15,496.32 = 5,410.02/x
  3. Step 3: Cross multiply
    10,330.77x = 15,496.32 × 5,410.02
  4. Step 4: Simplify right side
    10,330.77x = 83,835,401.13
  5. Step 5: Solve for x
    x = 83,835,401.13/10,330.77
  6. Step 6: Final answer
    x = 8,115.12

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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.