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Finding the Fourth Proportional to 10,046.52, 15,068.70 and 7,849.80

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Solution

The fourth proportional to 10,046.52, 15,068.70 and 7,849.80 is: 11,773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.52 : 15,068.70 = 7,849.80 : x
  2. Step 2: Convert to fraction form
    10,046.52/15,068.70 = 7,849.80/x
  3. Step 3: Cross multiply
    10,046.52x = 15,068.70 × 7,849.80
  4. Step 4: Simplify right side
    10,046.52x = 118,286,281.26
  5. Step 5: Solve for x
    x = 118,286,281.26/10,046.52
  6. Step 6: Final answer
    x = 11,773.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.