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Finding the Fourth Proportional to 10,952.61, 15,114.60 and 6,478.57

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Solution

The fourth proportional to 10,952.61, 15,114.60 and 6,478.57 is: 8,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.61 : 15,114.60 = 6,478.57 : x
  2. Step 2: Convert to fraction form
    10,952.61/15,114.60 = 6,478.57/x
  3. Step 3: Cross multiply
    10,952.61x = 15,114.60 × 6,478.57
  4. Step 4: Simplify right side
    10,952.61x = 97,920,994.12
  5. Step 5: Solve for x
    x = 97,920,994.12/10,952.61
  6. Step 6: Final answer
    x = 8,940.43

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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.