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Finding the Fourth Proportional to 10,614.40, 14,646.10 and 6,138.76

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Solution

The fourth proportional to 10,614.40, 14,646.10 and 6,138.76 is: 8,470.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.40 : 14,646.10 = 6,138.76 : x
  2. Step 2: Convert to fraction form
    10,614.40/14,646.10 = 6,138.76/x
  3. Step 3: Cross multiply
    10,614.40x = 14,646.10 × 6,138.76
  4. Step 4: Simplify right side
    10,614.40x = 89,908,892.84
  5. Step 5: Solve for x
    x = 89,908,892.84/10,614.40
  6. Step 6: Final answer
    x = 8,470.46

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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.