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Finding the Fourth Proportional to 10,462.68, 14,438.13 and 5,746.65

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Solution

The fourth proportional to 10,462.68, 14,438.13 and 5,746.65 is: 7,930.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.68 : 14,438.13 = 5,746.65 : x
  2. Step 2: Convert to fraction form
    10,462.68/14,438.13 = 5,746.65/x
  3. Step 3: Cross multiply
    10,462.68x = 14,438.13 × 5,746.65
  4. Step 4: Simplify right side
    10,462.68x = 82,970,879.76
  5. Step 5: Solve for x
    x = 82,970,879.76/10,462.68
  6. Step 6: Final answer
    x = 7,930.17

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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.