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Finding the Fourth Proportional to 10,648.41, 14,693.91 and 6,864.90

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Solution

The fourth proportional to 10,648.41, 14,693.91 and 6,864.90 is: 9,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.41 : 14,693.91 = 6,864.90 : x
  2. Step 2: Convert to fraction form
    10,648.41/14,693.91 = 6,864.90/x
  3. Step 3: Cross multiply
    10,648.41x = 14,693.91 × 6,864.90
  4. Step 4: Simplify right side
    10,648.41x = 100,872,224.57
  5. Step 5: Solve for x
    x = 100,872,224.57/10,648.41
  6. Step 6: Final answer
    x = 9,472.98

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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.