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Finding the Fourth Proportional to 8,678.40, 12,998.16 and 5,208.48

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Solution

The fourth proportional to 8,678.40, 12,998.16 and 5,208.48 is: 7,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.40 : 12,998.16 = 5,208.48 : x
  2. Step 2: Convert to fraction form
    8,678.40/12,998.16 = 5,208.48/x
  3. Step 3: Cross multiply
    8,678.40x = 12,998.16 × 5,208.48
  4. Step 4: Simplify right side
    8,678.40x = 67,700,656.40
  5. Step 5: Solve for x
    x = 67,700,656.40/8,678.40
  6. Step 6: Final answer
    x = 7,801.05

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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.