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Finding the Fourth Proportional to 7,506.31, 11,259.24 and 3,123.66

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Solution

The fourth proportional to 7,506.31, 11,259.24 and 3,123.66 is: 4,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.31 : 11,259.24 = 3,123.66 : x
  2. Step 2: Convert to fraction form
    7,506.31/11,259.24 = 3,123.66/x
  3. Step 3: Cross multiply
    7,506.31x = 11,259.24 × 3,123.66
  4. Step 4: Simplify right side
    7,506.31x = 35,170,001.25
  5. Step 5: Solve for x
    x = 35,170,001.25/7,506.31
  6. Step 6: Final answer
    x = 4,685.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.