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Finding the Fourth Proportional to 7,883.15, 10,878.71 and 4,298.31

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Solution

The fourth proportional to 7,883.15, 10,878.71 and 4,298.31 is: 5,931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.15 : 10,878.71 = 4,298.31 : x
  2. Step 2: Convert to fraction form
    7,883.15/10,878.71 = 4,298.31/x
  3. Step 3: Cross multiply
    7,883.15x = 10,878.71 × 4,298.31
  4. Step 4: Simplify right side
    7,883.15x = 46,760,046.49
  5. Step 5: Solve for x
    x = 46,760,046.49/7,883.15
  6. Step 6: Final answer
    x = 5,931.65

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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.