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Finding the Fourth Proportional to 10,482.12, 14,463.72 and 6,233.08

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Solution

The fourth proportional to 10,482.12, 14,463.72 and 6,233.08 is: 8,600.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.12 : 14,463.72 = 6,233.08 : x
  2. Step 2: Convert to fraction form
    10,482.12/14,463.72 = 6,233.08/x
  3. Step 3: Cross multiply
    10,482.12x = 14,463.72 × 6,233.08
  4. Step 4: Simplify right side
    10,482.12x = 90,153,523.86
  5. Step 5: Solve for x
    x = 90,153,523.86/10,482.12
  6. Step 6: Final answer
    x = 8,600.70

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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.