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Finding the Fourth Proportional to 11,311.92, 15,574.05 and 9,715.41

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Solution

The fourth proportional to 11,311.92, 15,574.05 and 9,715.41 is: 13,376.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.92 : 15,574.05 = 9,715.41 : x
  2. Step 2: Convert to fraction form
    11,311.92/15,574.05 = 9,715.41/x
  3. Step 3: Cross multiply
    11,311.92x = 15,574.05 × 9,715.41
  4. Step 4: Simplify right side
    11,311.92x = 151,308,281.11
  5. Step 5: Solve for x
    x = 151,308,281.11/11,311.92
  6. Step 6: Final answer
    x = 13,376.00

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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.