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Finding the Fourth Proportional to 10,056.88, 13,878.16 and 6,077.31

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Solution

The fourth proportional to 10,056.88, 13,878.16 and 6,077.31 is: 8,386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.88 : 13,878.16 = 6,077.31 : x
  2. Step 2: Convert to fraction form
    10,056.88/13,878.16 = 6,077.31/x
  3. Step 3: Cross multiply
    10,056.88x = 13,878.16 × 6,077.31
  4. Step 4: Simplify right side
    10,056.88x = 84,341,880.55
  5. Step 5: Solve for x
    x = 84,341,880.55/10,056.88
  6. Step 6: Final answer
    x = 8,386.49

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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.