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Finding the Fourth Proportional to 10,660.66, 14,711.42 and 6,683.94

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Solution

The fourth proportional to 10,660.66, 14,711.42 and 6,683.94 is: 9,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.66 : 14,711.42 = 6,683.94 : x
  2. Step 2: Convert to fraction form
    10,660.66/14,711.42 = 6,683.94/x
  3. Step 3: Cross multiply
    10,660.66x = 14,711.42 × 6,683.94
  4. Step 4: Simplify right side
    10,660.66x = 98,330,248.59
  5. Step 5: Solve for x
    x = 98,330,248.59/10,660.66
  6. Step 6: Final answer
    x = 9,223.65

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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.