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Finding the Fourth Proportional to 11,423.10, 15,765.66 and 6,948.26

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Solution

The fourth proportional to 11,423.10, 15,765.66 and 6,948.26 is: 9,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.10 : 15,765.66 = 6,948.26 : x
  2. Step 2: Convert to fraction form
    11,423.10/15,765.66 = 6,948.26/x
  3. Step 3: Cross multiply
    11,423.10x = 15,765.66 × 6,948.26
  4. Step 4: Simplify right side
    11,423.10x = 109,543,904.75
  5. Step 5: Solve for x
    x = 109,543,904.75/11,423.10
  6. Step 6: Final answer
    x = 9,589.68

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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.