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Finding the Fourth Proportional to 10,462.77, 14,424.48 and 7,099.65

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Solution

The fourth proportional to 10,462.77, 14,424.48 and 7,099.65 is: 9,787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.77 : 14,424.48 = 7,099.65 : x
  2. Step 2: Convert to fraction form
    10,462.77/14,424.48 = 7,099.65/x
  3. Step 3: Cross multiply
    10,462.77x = 14,424.48 × 7,099.65
  4. Step 4: Simplify right side
    10,462.77x = 102,408,759.43
  5. Step 5: Solve for x
    x = 102,408,759.43/10,462.77
  6. Step 6: Final answer
    x = 9,787.92

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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.