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Finding the Fourth Proportional to 10,116.56, 13,960.32 and 5,579.98

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Solution

The fourth proportional to 10,116.56, 13,960.32 and 5,579.98 is: 7,700.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.56 : 13,960.32 = 5,579.98 : x
  2. Step 2: Convert to fraction form
    10,116.56/13,960.32 = 5,579.98/x
  3. Step 3: Cross multiply
    10,116.56x = 13,960.32 × 5,579.98
  4. Step 4: Simplify right side
    10,116.56x = 77,898,306.39
  5. Step 5: Solve for x
    x = 77,898,306.39/10,116.56
  6. Step 6: Final answer
    x = 7,700.08

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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.