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Finding the Fourth Proportional to 10,471.30, 14,445.76 and 6,277.12

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Solution

The fourth proportional to 10,471.30, 14,445.76 and 6,277.12 is: 8,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.30 : 14,445.76 = 6,277.12 : x
  2. Step 2: Convert to fraction form
    10,471.30/14,445.76 = 6,277.12/x
  3. Step 3: Cross multiply
    10,471.30x = 14,445.76 × 6,277.12
  4. Step 4: Simplify right side
    10,471.30x = 90,677,769.01
  5. Step 5: Solve for x
    x = 90,677,769.01/10,471.30
  6. Step 6: Final answer
    x = 8,659.65

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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.