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Finding the Fourth Proportional to 10,088.80, 15,104.40 and 6,200.80

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Solution

The fourth proportional to 10,088.80, 15,104.40 and 6,200.80 is: 9,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088.80 : 15,104.40 = 6,200.80 : x
  2. Step 2: Convert to fraction form
    10,088.80/15,104.40 = 6,200.80/x
  3. Step 3: Cross multiply
    10,088.80x = 15,104.40 × 6,200.80
  4. Step 4: Simplify right side
    10,088.80x = 93,659,363.52
  5. Step 5: Solve for x
    x = 93,659,363.52/10,088.80
  6. Step 6: Final answer
    x = 9,283.50

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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.