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Finding the Fourth Proportional to 8,335.52, 12,478.98 and 7,221.50

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Solution

The fourth proportional to 8,335.52, 12,478.98 and 7,221.50 is: 10,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,335.52 : 12,478.98 = 7,221.50 : x
  2. Step 2: Convert to fraction form
    8,335.52/12,478.98 = 7,221.50/x
  3. Step 3: Cross multiply
    8,335.52x = 12,478.98 × 7,221.50
  4. Step 4: Simplify right side
    8,335.52x = 90,116,954.07
  5. Step 5: Solve for x
    x = 90,116,954.07/8,335.52
  6. Step 6: Final answer
    x = 10,811.20

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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.