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Finding the Fourth Proportional to 10,677.66, 14,711.19 and 7,444.48

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Solution

The fourth proportional to 10,677.66, 14,711.19 and 7,444.48 is: 10,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.66 : 14,711.19 = 7,444.48 : x
  2. Step 2: Convert to fraction form
    10,677.66/14,711.19 = 7,444.48/x
  3. Step 3: Cross multiply
    10,677.66x = 14,711.19 × 7,444.48
  4. Step 4: Simplify right side
    10,677.66x = 109,517,086.18
  5. Step 5: Solve for x
    x = 109,517,086.18/10,677.66
  6. Step 6: Final answer
    x = 10,256.66

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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.