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Finding the Fourth Proportional to 10,948.50, 15,108.93 and 6,760.26

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Solution

The fourth proportional to 10,948.50, 15,108.93 and 6,760.26 is: 9,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,948.50 : 15,108.93 = 6,760.26 : x
  2. Step 2: Convert to fraction form
    10,948.50/15,108.93 = 6,760.26/x
  3. Step 3: Cross multiply
    10,948.50x = 15,108.93 × 6,760.26
  4. Step 4: Simplify right side
    10,948.50x = 102,140,295.12
  5. Step 5: Solve for x
    x = 102,140,295.12/10,948.50
  6. Step 6: Final answer
    x = 9,329.16

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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.