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Finding the Fourth Proportional to 11,294.40, 15,590.16 and 7,769.28

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Solution

The fourth proportional to 11,294.40, 15,590.16 and 7,769.28 is: 10,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.40 : 15,590.16 = 7,769.28 : x
  2. Step 2: Convert to fraction form
    11,294.40/15,590.16 = 7,769.28/x
  3. Step 3: Cross multiply
    11,294.40x = 15,590.16 × 7,769.28
  4. Step 4: Simplify right side
    11,294.40x = 121,124,318.28
  5. Step 5: Solve for x
    x = 121,124,318.28/11,294.40
  6. Step 6: Final answer
    x = 10,724.28

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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.