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Finding the Fourth Proportional to 10,463.34, 14,438.67 and 5,746.74

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Solution

The fourth proportional to 10,463.34, 14,438.67 and 5,746.74 is: 7,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.34 : 14,438.67 = 5,746.74 : x
  2. Step 2: Convert to fraction form
    10,463.34/14,438.67 = 5,746.74/x
  3. Step 3: Cross multiply
    10,463.34x = 14,438.67 × 5,746.74
  4. Step 4: Simplify right side
    10,463.34x = 82,975,282.44
  5. Step 5: Solve for x
    x = 82,975,282.44/10,463.34
  6. Step 6: Final answer
    x = 7,930.10

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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.