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Finding the Fourth Proportional to 8,712.23, 12,024.78 and 5,357.93

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Solution

The fourth proportional to 8,712.23, 12,024.78 and 5,357.93 is: 7,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.23 : 12,024.78 = 5,357.93 : x
  2. Step 2: Convert to fraction form
    8,712.23/12,024.78 = 5,357.93/x
  3. Step 3: Cross multiply
    8,712.23x = 12,024.78 × 5,357.93
  4. Step 4: Simplify right side
    8,712.23x = 64,427,869.38
  5. Step 5: Solve for x
    x = 64,427,869.38/8,712.23
  6. Step 6: Final answer
    x = 7,395.10

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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.