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Finding the Fourth Proportional to 8,959.52, 13,349.24 and 8,456.50

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Solution

The fourth proportional to 8,959.52, 13,349.24 and 8,456.50 is: 12,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,959.52 : 13,349.24 = 8,456.50 : x
  2. Step 2: Convert to fraction form
    8,959.52/13,349.24 = 8,456.50/x
  3. Step 3: Cross multiply
    8,959.52x = 13,349.24 × 8,456.50
  4. Step 4: Simplify right side
    8,959.52x = 112,887,848.06
  5. Step 5: Solve for x
    x = 112,887,848.06/8,959.52
  6. Step 6: Final answer
    x = 12,599.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.