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Finding the Fourth Proportional to 11,591.34, 15,973.98 and 11,378.10

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Solution

The fourth proportional to 11,591.34, 15,973.98 and 11,378.10 is: 15,680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.34 : 15,973.98 = 11,378.10 : x
  2. Step 2: Convert to fraction form
    11,591.34/15,973.98 = 11,378.10/x
  3. Step 3: Cross multiply
    11,591.34x = 15,973.98 × 11,378.10
  4. Step 4: Simplify right side
    11,591.34x = 181,753,541.84
  5. Step 5: Solve for x
    x = 181,753,541.84/11,591.34
  6. Step 6: Final answer
    x = 15,680.11

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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.