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Finding the Fourth Proportional to 10,123.40, 13,972.02 and 7,478.48

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Solution

The fourth proportional to 10,123.40, 13,972.02 and 7,478.48 is: 10,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.40 : 13,972.02 = 7,478.48 : x
  2. Step 2: Convert to fraction form
    10,123.40/13,972.02 = 7,478.48/x
  3. Step 3: Cross multiply
    10,123.40x = 13,972.02 × 7,478.48
  4. Step 4: Simplify right side
    10,123.40x = 104,489,472.13
  5. Step 5: Solve for x
    x = 104,489,472.13/10,123.40
  6. Step 6: Final answer
    x = 10,321.58

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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.