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Finding the Fourth Proportional to 8,643.90, 12,878.82 and 8,078.10

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Solution

The fourth proportional to 8,643.90, 12,878.82 and 8,078.10 is: 12,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.90 : 12,878.82 = 8,078.10 : x
  2. Step 2: Convert to fraction form
    8,643.90/12,878.82 = 8,078.10/x
  3. Step 3: Cross multiply
    8,643.90x = 12,878.82 × 8,078.10
  4. Step 4: Simplify right side
    8,643.90x = 104,036,395.84
  5. Step 5: Solve for x
    x = 104,036,395.84/8,643.90
  6. Step 6: Final answer
    x = 12,035.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.