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Finding the Fourth Proportional to 10,264.68, 14,165.19 and 5,548.95

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Solution

The fourth proportional to 10,264.68, 14,165.19 and 5,548.95 is: 7,657.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.68 : 14,165.19 = 5,548.95 : x
  2. Step 2: Convert to fraction form
    10,264.68/14,165.19 = 5,548.95/x
  3. Step 3: Cross multiply
    10,264.68x = 14,165.19 × 5,548.95
  4. Step 4: Simplify right side
    10,264.68x = 78,601,931.05
  5. Step 5: Solve for x
    x = 78,601,931.05/10,264.68
  6. Step 6: Final answer
    x = 7,657.51

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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.