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Finding the Fourth Proportional to 11,505.57, 15,878.18 and 6,470.01

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Solution

The fourth proportional to 11,505.57, 15,878.18 and 6,470.01 is: 8,928.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.57 : 15,878.18 = 6,470.01 : x
  2. Step 2: Convert to fraction form
    11,505.57/15,878.18 = 6,470.01/x
  3. Step 3: Cross multiply
    11,505.57x = 15,878.18 × 6,470.01
  4. Step 4: Simplify right side
    11,505.57x = 102,731,951.03
  5. Step 5: Solve for x
    x = 102,731,951.03/11,505.57
  6. Step 6: Final answer
    x = 8,928.89

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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.