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Finding the Fourth Proportional to 11,191.32, 15,444.47 and 6,713.43

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Solution

The fourth proportional to 11,191.32, 15,444.47 and 6,713.43 is: 9,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.32 : 15,444.47 = 6,713.43 : x
  2. Step 2: Convert to fraction form
    11,191.32/15,444.47 = 6,713.43/x
  3. Step 3: Cross multiply
    11,191.32x = 15,444.47 × 6,713.43
  4. Step 4: Simplify right side
    11,191.32x = 103,685,334.66
  5. Step 5: Solve for x
    x = 103,685,334.66/11,191.32
  6. Step 6: Final answer
    x = 9,264.80

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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.