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Finding the Fourth Proportional to 10,985.98, 15,158.02 and 6,206.02

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Solution

The fourth proportional to 10,985.98, 15,158.02 and 6,206.02 is: 8,562.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.98 : 15,158.02 = 6,206.02 : x
  2. Step 2: Convert to fraction form
    10,985.98/15,158.02 = 6,206.02/x
  3. Step 3: Cross multiply
    10,985.98x = 15,158.02 × 6,206.02
  4. Step 4: Simplify right side
    10,985.98x = 94,070,975.28
  5. Step 5: Solve for x
    x = 94,070,975.28/10,985.98
  6. Step 6: Final answer
    x = 8,562.82

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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.