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Finding the Fourth Proportional to 10,731.38, 14,801.88 and 7,551.32

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Solution

The fourth proportional to 10,731.38, 14,801.88 and 7,551.32 is: 10,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.38 : 14,801.88 = 7,551.32 : x
  2. Step 2: Convert to fraction form
    10,731.38/14,801.88 = 7,551.32/x
  3. Step 3: Cross multiply
    10,731.38x = 14,801.88 × 7,551.32
  4. Step 4: Simplify right side
    10,731.38x = 111,773,658.47
  5. Step 5: Solve for x
    x = 111,773,658.47/10,731.38
  6. Step 6: Final answer
    x = 10,415.60

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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.