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Finding the Fourth Proportional to 10,056.31, 13,878.08 and 6,076.65

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Solution

The fourth proportional to 10,056.31, 13,878.08 and 6,076.65 is: 8,386.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.31 : 13,878.08 = 6,076.65 : x
  2. Step 2: Convert to fraction form
    10,056.31/13,878.08 = 6,076.65/x
  3. Step 3: Cross multiply
    10,056.31x = 13,878.08 × 6,076.65
  4. Step 4: Simplify right side
    10,056.31x = 84,332,234.83
  5. Step 5: Solve for x
    x = 84,332,234.83/10,056.31
  6. Step 6: Final answer
    x = 8,386.00

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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.