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Finding the Fourth Proportional to 10,689.54, 14,751.23 and 5,909.20

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Solution

The fourth proportional to 10,689.54, 14,751.23 and 5,909.20 is: 8,154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.54 : 14,751.23 = 5,909.20 : x
  2. Step 2: Convert to fraction form
    10,689.54/14,751.23 = 5,909.20/x
  3. Step 3: Cross multiply
    10,689.54x = 14,751.23 × 5,909.20
  4. Step 4: Simplify right side
    10,689.54x = 87,167,946.21
  5. Step 5: Solve for x
    x = 87,167,946.21/10,689.54
  6. Step 6: Final answer
    x = 8,154.51

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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.