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Finding the Fourth Proportional to 10,078.18, 13,903.05 and 8,678.50

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Solution

The fourth proportional to 10,078.18, 13,903.05 and 8,678.50 is: 11,972.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.18 : 13,903.05 = 8,678.50 : x
  2. Step 2: Convert to fraction form
    10,078.18/13,903.05 = 8,678.50/x
  3. Step 3: Cross multiply
    10,078.18x = 13,903.05 × 8,678.50
  4. Step 4: Simplify right side
    10,078.18x = 120,657,619.43
  5. Step 5: Solve for x
    x = 120,657,619.43/10,078.18
  6. Step 6: Final answer
    x = 11,972.16

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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.