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Finding the Fourth Proportional to 11,424.48, 15,766.80 and 6,947.16

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Solution

The fourth proportional to 11,424.48, 15,766.80 and 6,947.16 is: 9,587.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.48 : 15,766.80 = 6,947.16 : x
  2. Step 2: Convert to fraction form
    11,424.48/15,766.80 = 6,947.16/x
  3. Step 3: Cross multiply
    11,424.48x = 15,766.80 × 6,947.16
  4. Step 4: Simplify right side
    11,424.48x = 109,534,482.29
  5. Step 5: Solve for x
    x = 109,534,482.29/11,424.48
  6. Step 6: Final answer
    x = 9,587.70

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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.