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Finding the Fourth Proportional to 11,292.96, 15,585.75 and 6,819.24

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Solution

The fourth proportional to 11,292.96, 15,585.75 and 6,819.24 is: 9,411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292.96 : 15,585.75 = 6,819.24 : x
  2. Step 2: Convert to fraction form
    11,292.96/15,585.75 = 6,819.24/x
  3. Step 3: Cross multiply
    11,292.96x = 15,585.75 × 6,819.24
  4. Step 4: Simplify right side
    11,292.96x = 106,282,969.83
  5. Step 5: Solve for x
    x = 106,282,969.83/11,292.96
  6. Step 6: Final answer
    x = 9,411.44

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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.