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Finding the Fourth Proportional to 10,505.49, 14,518.47 and 8,614.14

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Solution

The fourth proportional to 10,505.49, 14,518.47 and 8,614.14 is: 11,904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.49 : 14,518.47 = 8,614.14 : x
  2. Step 2: Convert to fraction form
    10,505.49/14,518.47 = 8,614.14/x
  3. Step 3: Cross multiply
    10,505.49x = 14,518.47 × 8,614.14
  4. Step 4: Simplify right side
    10,505.49x = 125,064,133.17
  5. Step 5: Solve for x
    x = 125,064,133.17/10,505.49
  6. Step 6: Final answer
    x = 11,904.65

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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.