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Finding the Fourth Proportional to 10,370.64, 15,543.63 and 5,979

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Solution

The fourth proportional to 10,370.64, 15,543.63 and 5,979 is: 8,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.64 : 15,543.63 = 5,979 : x
  2. Step 2: Convert to fraction form
    10,370.64/15,543.63 = 5,979/x
  3. Step 3: Cross multiply
    10,370.64x = 15,543.63 × 5,979
  4. Step 4: Simplify right side
    10,370.64x = 92,935,363.77
  5. Step 5: Solve for x
    x = 92,935,363.77/10,370.64
  6. Step 6: Final answer
    x = 8,961.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.