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Finding the Fourth Proportional to 8,962.59, 12,365.05 and 5,424.51

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Solution

The fourth proportional to 8,962.59, 12,365.05 and 5,424.51 is: 7,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962.59 : 12,365.05 = 5,424.51 : x
  2. Step 2: Convert to fraction form
    8,962.59/12,365.05 = 5,424.51/x
  3. Step 3: Cross multiply
    8,962.59x = 12,365.05 × 5,424.51
  4. Step 4: Simplify right side
    8,962.59x = 67,074,337.38
  5. Step 5: Solve for x
    x = 67,074,337.38/8,962.59
  6. Step 6: Final answer
    x = 7,483.81

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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.