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Finding the Fourth Proportional to 10,511.65, 14,506.19 and 5,731.55

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Solution

The fourth proportional to 10,511.65, 14,506.19 and 5,731.55 is: 7,909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.65 : 14,506.19 = 5,731.55 : x
  2. Step 2: Convert to fraction form
    10,511.65/14,506.19 = 5,731.55/x
  3. Step 3: Cross multiply
    10,511.65x = 14,506.19 × 5,731.55
  4. Step 4: Simplify right side
    10,511.65x = 83,142,960.90
  5. Step 5: Solve for x
    x = 83,142,960.90/10,511.65
  6. Step 6: Final answer
    x = 7,909.60

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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.