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Finding the Fourth Proportional to 11,553.48, 15,938.16 and 7,572.84

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Solution

The fourth proportional to 11,553.48, 15,938.16 and 7,572.84 is: 10,446.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.48 : 15,938.16 = 7,572.84 : x
  2. Step 2: Convert to fraction form
    11,553.48/15,938.16 = 7,572.84/x
  3. Step 3: Cross multiply
    11,553.48x = 15,938.16 × 7,572.84
  4. Step 4: Simplify right side
    11,553.48x = 120,697,135.57
  5. Step 5: Solve for x
    x = 120,697,135.57/11,553.48
  6. Step 6: Final answer
    x = 10,446.82

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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.