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Finding the Fourth Proportional to 10,878.62, 15,014.91 and 6,165.50

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Solution

The fourth proportional to 10,878.62, 15,014.91 and 6,165.50 is: 8,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.62 : 15,014.91 = 6,165.50 : x
  2. Step 2: Convert to fraction form
    10,878.62/15,014.91 = 6,165.50/x
  3. Step 3: Cross multiply
    10,878.62x = 15,014.91 × 6,165.50
  4. Step 4: Simplify right side
    10,878.62x = 92,574,427.61
  5. Step 5: Solve for x
    x = 92,574,427.61/10,878.62
  6. Step 6: Final answer
    x = 8,509.76

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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.