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Finding the Fourth Proportional to 11,282.50, 15,569.85 and 6,314.50

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Solution

The fourth proportional to 11,282.50, 15,569.85 and 6,314.50 is: 8,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282.50 : 15,569.85 = 6,314.50 : x
  2. Step 2: Convert to fraction form
    11,282.50/15,569.85 = 6,314.50/x
  3. Step 3: Cross multiply
    11,282.50x = 15,569.85 × 6,314.50
  4. Step 4: Simplify right side
    11,282.50x = 98,315,817.83
  5. Step 5: Solve for x
    x = 98,315,817.83/11,282.50
  6. Step 6: Final answer
    x = 8,714.01

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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.