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Finding the Fourth Proportional to 7,878.30, 10,878.39 and 5,365.68

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Solution

The fourth proportional to 7,878.30, 10,878.39 and 5,365.68 is: 7,408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.30 : 10,878.39 = 5,365.68 : x
  2. Step 2: Convert to fraction form
    7,878.30/10,878.39 = 5,365.68/x
  3. Step 3: Cross multiply
    7,878.30x = 10,878.39 × 5,365.68
  4. Step 4: Simplify right side
    7,878.30x = 58,369,959.66
  5. Step 5: Solve for x
    x = 58,369,959.66/7,878.30
  6. Step 6: Final answer
    x = 7,408.95

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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.