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Finding the Fourth Proportional to 11,376.48, 15,698.24 and 6,901.28

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Solution

The fourth proportional to 11,376.48, 15,698.24 and 6,901.28 is: 9,522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.48 : 15,698.24 = 6,901.28 : x
  2. Step 2: Convert to fraction form
    11,376.48/15,698.24 = 6,901.28/x
  3. Step 3: Cross multiply
    11,376.48x = 15,698.24 × 6,901.28
  4. Step 4: Simplify right side
    11,376.48x = 108,337,949.75
  5. Step 5: Solve for x
    x = 108,337,949.75/11,376.48
  6. Step 6: Final answer
    x = 9,522.98

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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.