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Finding the Fourth Proportional to 10,476.04, 14,456.46 and 6,000.16

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Solution

The fourth proportional to 10,476.04, 14,456.46 and 6,000.16 is: 8,279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.04 : 14,456.46 = 6,000.16 : x
  2. Step 2: Convert to fraction form
    10,476.04/14,456.46 = 6,000.16/x
  3. Step 3: Cross multiply
    10,476.04x = 14,456.46 × 6,000.16
  4. Step 4: Simplify right side
    10,476.04x = 86,741,073.03
  5. Step 5: Solve for x
    x = 86,741,073.03/10,476.04
  6. Step 6: Final answer
    x = 8,279.95

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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.