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Finding the Fourth Proportional to 11,423.60, 15,764.61 and 6,644.69

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Solution

The fourth proportional to 11,423.60, 15,764.61 and 6,644.69 is: 9,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.60 : 15,764.61 = 6,644.69 : x
  2. Step 2: Convert to fraction form
    11,423.60/15,764.61 = 6,644.69/x
  3. Step 3: Cross multiply
    11,423.60x = 15,764.61 × 6,644.69
  4. Step 4: Simplify right side
    11,423.60x = 104,750,946.42
  5. Step 5: Solve for x
    x = 104,750,946.42/11,423.60
  6. Step 6: Final answer
    x = 9,169.70

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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.