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Finding the Fourth Proportional to 10,931.96, 15,082.54 and 6,454.20

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Solution

The fourth proportional to 10,931.96, 15,082.54 and 6,454.20 is: 8,904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.96 : 15,082.54 = 6,454.20 : x
  2. Step 2: Convert to fraction form
    10,931.96/15,082.54 = 6,454.20/x
  3. Step 3: Cross multiply
    10,931.96x = 15,082.54 × 6,454.20
  4. Step 4: Simplify right side
    10,931.96x = 97,345,729.67
  5. Step 5: Solve for x
    x = 97,345,729.67/10,931.96
  6. Step 6: Final answer
    x = 8,904.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.