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Finding the Fourth Proportional to 10,985.13, 15,158.87 and 6,509.31

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Solution

The fourth proportional to 10,985.13, 15,158.87 and 6,509.31 is: 8,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.13 : 15,158.87 = 6,509.31 : x
  2. Step 2: Convert to fraction form
    10,985.13/15,158.87 = 6,509.31/x
  3. Step 3: Cross multiply
    10,985.13x = 15,158.87 × 6,509.31
  4. Step 4: Simplify right side
    10,985.13x = 98,673,751.53
  5. Step 5: Solve for x
    x = 98,673,751.53/10,985.13
  6. Step 6: Final answer
    x = 8,982.48

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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.