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Finding the Fourth Proportional to 11,314.19, 15,612.87 and 6,835.30

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Solution

The fourth proportional to 11,314.19, 15,612.87 and 6,835.30 is: 9,432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.19 : 15,612.87 = 6,835.30 : x
  2. Step 2: Convert to fraction form
    11,314.19/15,612.87 = 6,835.30/x
  3. Step 3: Cross multiply
    11,314.19x = 15,612.87 × 6,835.30
  4. Step 4: Simplify right side
    11,314.19x = 106,718,650.31
  5. Step 5: Solve for x
    x = 106,718,650.31/11,314.19
  6. Step 6: Final answer
    x = 9,432.28

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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.