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Finding the Fourth Proportional to 10,177.68, 15,264 and 4,333.68

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Solution

The fourth proportional to 10,177.68, 15,264 and 4,333.68 is: 6,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177.68 : 15,264 = 4,333.68 : x
  2. Step 2: Convert to fraction form
    10,177.68/15,264 = 4,333.68/x
  3. Step 3: Cross multiply
    10,177.68x = 15,264 × 4,333.68
  4. Step 4: Simplify right side
    10,177.68x = 66,149,291.52
  5. Step 5: Solve for x
    x = 66,149,291.52/10,177.68
  6. Step 6: Final answer
    x = 6,499.45

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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.