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Finding the Fourth Proportional to 10,330.86, 14,256.63 and 6,139.14

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Solution

The fourth proportional to 10,330.86, 14,256.63 and 6,139.14 is: 8,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330.86 : 14,256.63 = 6,139.14 : x
  2. Step 2: Convert to fraction form
    10,330.86/14,256.63 = 6,139.14/x
  3. Step 3: Cross multiply
    10,330.86x = 14,256.63 × 6,139.14
  4. Step 4: Simplify right side
    10,330.86x = 87,523,447.50
  5. Step 5: Solve for x
    x = 87,523,447.50/10,330.86
  6. Step 6: Final answer
    x = 8,472.04

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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.