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Finding the Fourth Proportional to 10,878.40, 15,014.84 and 6,165.44

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Solution

The fourth proportional to 10,878.40, 15,014.84 and 6,165.44 is: 8,509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.40 : 15,014.84 = 6,165.44 : x
  2. Step 2: Convert to fraction form
    10,878.40/15,014.84 = 6,165.44/x
  3. Step 3: Cross multiply
    10,878.40x = 15,014.84 × 6,165.44
  4. Step 4: Simplify right side
    10,878.40x = 92,573,095.13
  5. Step 5: Solve for x
    x = 92,573,095.13/10,878.40
  6. Step 6: Final answer
    x = 8,509.81

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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.