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Finding the Fourth Proportional to 8,729.30, 13,088.98 and 5,959.32

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Solution

The fourth proportional to 8,729.30, 13,088.98 and 5,959.32 is: 8,935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.30 : 13,088.98 = 5,959.32 : x
  2. Step 2: Convert to fraction form
    8,729.30/13,088.98 = 5,959.32/x
  3. Step 3: Cross multiply
    8,729.30x = 13,088.98 × 5,959.32
  4. Step 4: Simplify right side
    8,729.30x = 78,001,390.50
  5. Step 5: Solve for x
    x = 78,001,390.50/8,729.30
  6. Step 6: Final answer
    x = 8,935.59

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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.