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Finding the Fourth Proportional to 10,560.46, 14,573.56 and 5,845.18

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Solution

The fourth proportional to 10,560.46, 14,573.56 and 5,845.18 is: 8,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560.46 : 14,573.56 = 5,845.18 : x
  2. Step 2: Convert to fraction form
    10,560.46/14,573.56 = 5,845.18/x
  3. Step 3: Cross multiply
    10,560.46x = 14,573.56 × 5,845.18
  4. Step 4: Simplify right side
    10,560.46x = 85,185,081.44
  5. Step 5: Solve for x
    x = 85,185,081.44/10,560.46
  6. Step 6: Final answer
    x = 8,066.42

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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.