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Finding the Fourth Proportional to 8,065, 11,118.18 and 5,712.52

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Solution

The fourth proportional to 8,065, 11,118.18 and 5,712.52 is: 7,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065 : 11,118.18 = 5,712.52 : x
  2. Step 2: Convert to fraction form
    8,065/11,118.18 = 5,712.52/x
  3. Step 3: Cross multiply
    8,065x = 11,118.18 × 5,712.52
  4. Step 4: Simplify right side
    8,065x = 63,512,825.61
  5. Step 5: Solve for x
    x = 63,512,825.61/8,065
  6. Step 6: Final answer
    x = 7,875.12

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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.