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Finding the Fourth Proportional to 10,689.77, 14,750.61 and 5,909.07

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Solution

The fourth proportional to 10,689.77, 14,750.61 and 5,909.07 is: 8,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.77 : 14,750.61 = 5,909.07 : x
  2. Step 2: Convert to fraction form
    10,689.77/14,750.61 = 5,909.07/x
  3. Step 3: Cross multiply
    10,689.77x = 14,750.61 × 5,909.07
  4. Step 4: Simplify right side
    10,689.77x = 87,162,453.43
  5. Step 5: Solve for x
    x = 87,162,453.43/10,689.77
  6. Step 6: Final answer
    x = 8,153.82

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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.