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Finding the Fourth Proportional to 8,962.11, 13,421.25 and 7,737.39

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Solution

The fourth proportional to 8,962.11, 13,421.25 and 7,737.39 is: 11,587.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962.11 : 13,421.25 = 7,737.39 : x
  2. Step 2: Convert to fraction form
    8,962.11/13,421.25 = 7,737.39/x
  3. Step 3: Cross multiply
    8,962.11x = 13,421.25 × 7,737.39
  4. Step 4: Simplify right side
    8,962.11x = 103,845,445.54
  5. Step 5: Solve for x
    x = 103,845,445.54/8,962.11
  6. Step 6: Final answer
    x = 11,587.16

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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.