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Finding the Fourth Proportional to 11,555.16, 15,947.46 and 7,077.90

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Solution

The fourth proportional to 11,555.16, 15,947.46 and 7,077.90 is: 9,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,555.16 : 15,947.46 = 7,077.90 : x
  2. Step 2: Convert to fraction form
    11,555.16/15,947.46 = 7,077.90/x
  3. Step 3: Cross multiply
    11,555.16x = 15,947.46 × 7,077.90
  4. Step 4: Simplify right side
    11,555.16x = 112,874,527.13
  5. Step 5: Solve for x
    x = 112,874,527.13/11,555.16
  6. Step 6: Final answer
    x = 9,768.32

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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.