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Finding the Fourth Proportional to 10,462.74, 14,438.19 and 5,746.98

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Solution

The fourth proportional to 10,462.74, 14,438.19 and 5,746.98 is: 7,930.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.74 : 14,438.19 = 5,746.98 : x
  2. Step 2: Convert to fraction form
    10,462.74/14,438.19 = 5,746.98/x
  3. Step 3: Cross multiply
    10,462.74x = 14,438.19 × 5,746.98
  4. Step 4: Simplify right side
    10,462.74x = 82,975,989.17
  5. Step 5: Solve for x
    x = 82,975,989.17/10,462.74
  6. Step 6: Final answer
    x = 7,930.62

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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.