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Finding the Fourth Proportional to 8,282.32, 12,415.96 and 5,362

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Solution

The fourth proportional to 8,282.32, 12,415.96 and 5,362 is: 8,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.32 : 12,415.96 = 5,362 : x
  2. Step 2: Convert to fraction form
    8,282.32/12,415.96 = 5,362/x
  3. Step 3: Cross multiply
    8,282.32x = 12,415.96 × 5,362
  4. Step 4: Simplify right side
    8,282.32x = 66,574,377.52
  5. Step 5: Solve for x
    x = 66,574,377.52/8,282.32
  6. Step 6: Final answer
    x = 8,038.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.