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Finding the Fourth Proportional to 10,988.98, 15,162.16 and 6,209.02

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Solution

The fourth proportional to 10,988.98, 15,162.16 and 6,209.02 is: 8,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,988.98 : 15,162.16 = 6,209.02 : x
  2. Step 2: Convert to fraction form
    10,988.98/15,162.16 = 6,209.02/x
  3. Step 3: Cross multiply
    10,988.98x = 15,162.16 × 6,209.02
  4. Step 4: Simplify right side
    10,988.98x = 94,142,154.68
  5. Step 5: Solve for x
    x = 94,142,154.68/10,988.98
  6. Step 6: Final answer
    x = 8,566.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.