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Finding the Fourth Proportional to 10,442.25, 14,411.52 and 6,250.50

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Solution

The fourth proportional to 10,442.25, 14,411.52 and 6,250.50 is: 8,626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.25 : 14,411.52 = 6,250.50 : x
  2. Step 2: Convert to fraction form
    10,442.25/14,411.52 = 6,250.50/x
  3. Step 3: Cross multiply
    10,442.25x = 14,411.52 × 6,250.50
  4. Step 4: Simplify right side
    10,442.25x = 90,079,205.76
  5. Step 5: Solve for x
    x = 90,079,205.76/10,442.25
  6. Step 6: Final answer
    x = 8,626.42

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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.