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Finding the Fourth Proportional to 10,572.66, 14,560.29 and 8,787.96

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Solution

The fourth proportional to 10,572.66, 14,560.29 and 8,787.96 is: 12,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.66 : 14,560.29 = 8,787.96 : x
  2. Step 2: Convert to fraction form
    10,572.66/14,560.29 = 8,787.96/x
  3. Step 3: Cross multiply
    10,572.66x = 14,560.29 × 8,787.96
  4. Step 4: Simplify right side
    10,572.66x = 127,955,246.11
  5. Step 5: Solve for x
    x = 127,955,246.11/10,572.66
  6. Step 6: Final answer
    x = 12,102.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.