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Finding the Fourth Proportional to 15,116.48, 22,666 and 5,871.68

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Solution

The fourth proportional to 15,116.48, 22,666 and 5,871.68 is: 8,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,116.48 : 22,666 = 5,871.68 : x
  2. Step 2: Convert to fraction form
    15,116.48/22,666 = 5,871.68/x
  3. Step 3: Cross multiply
    15,116.48x = 22,666 × 5,871.68
  4. Step 4: Simplify right side
    15,116.48x = 133,087,498.88
  5. Step 5: Solve for x
    x = 133,087,498.88/15,116.48
  6. Step 6: Final answer
    x = 8,804.13

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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.