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Finding the Fourth Proportional to 10,462.16, 14,441.16 and 7,159.76

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Solution

The fourth proportional to 10,462.16, 14,441.16 and 7,159.76 is: 9,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.16 : 14,441.16 = 7,159.76 : x
  2. Step 2: Convert to fraction form
    10,462.16/14,441.16 = 7,159.76/x
  3. Step 3: Cross multiply
    10,462.16x = 14,441.16 × 7,159.76
  4. Step 4: Simplify right side
    10,462.16x = 103,395,239.72
  5. Step 5: Solve for x
    x = 103,395,239.72/10,462.16
  6. Step 6: Final answer
    x = 9,882.78

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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.