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Finding the Fourth Proportional to 11,333.52, 15,635.16 and 6,615

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Solution

The fourth proportional to 11,333.52, 15,635.16 and 6,615 is: 9,125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333.52 : 15,635.16 = 6,615 : x
  2. Step 2: Convert to fraction form
    11,333.52/15,635.16 = 6,615/x
  3. Step 3: Cross multiply
    11,333.52x = 15,635.16 × 6,615
  4. Step 4: Simplify right side
    11,333.52x = 103,426,583.40
  5. Step 5: Solve for x
    x = 103,426,583.40/11,333.52
  6. Step 6: Final answer
    x = 9,125.72

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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.