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Finding the Fourth Proportional to 11,043.65, 15,235.21 and 6,564.86

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Solution

The fourth proportional to 11,043.65, 15,235.21 and 6,564.86 is: 9,056.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,043.65 : 15,235.21 = 6,564.86 : x
  2. Step 2: Convert to fraction form
    11,043.65/15,235.21 = 6,564.86/x
  3. Step 3: Cross multiply
    11,043.65x = 15,235.21 × 6,564.86
  4. Step 4: Simplify right side
    11,043.65x = 100,016,928.13
  5. Step 5: Solve for x
    x = 100,016,928.13/11,043.65
  6. Step 6: Final answer
    x = 9,056.51

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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.