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Finding the Fourth Proportional to 10,544.80, 14,555.28 and 7,401.76

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Solution

The fourth proportional to 10,544.80, 14,555.28 and 7,401.76 is: 10,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.80 : 14,555.28 = 7,401.76 : x
  2. Step 2: Convert to fraction form
    10,544.80/14,555.28 = 7,401.76/x
  3. Step 3: Cross multiply
    10,544.80x = 14,555.28 × 7,401.76
  4. Step 4: Simplify right side
    10,544.80x = 107,734,689.29
  5. Step 5: Solve for x
    x = 107,734,689.29/10,544.80
  6. Step 6: Final answer
    x = 10,216.85

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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.