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Finding the Fourth Proportional to 10,264.63, 14,165.18 and 5,548.91

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Solution

The fourth proportional to 10,264.63, 14,165.18 and 5,548.91 is: 7,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.63 : 14,165.18 = 5,548.91 : x
  2. Step 2: Convert to fraction form
    10,264.63/14,165.18 = 5,548.91/x
  3. Step 3: Cross multiply
    10,264.63x = 14,165.18 × 5,548.91
  4. Step 4: Simplify right side
    10,264.63x = 78,601,308.95
  5. Step 5: Solve for x
    x = 78,601,308.95/10,264.63
  6. Step 6: Final answer
    x = 7,657.49

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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.