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Finding the Fourth Proportional to 6,010.56, 8,287.04 and 4,596

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Solution

The fourth proportional to 6,010.56, 8,287.04 and 4,596 is: 6,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,010.56 : 8,287.04 = 4,596 : x
  2. Step 2: Convert to fraction form
    6,010.56/8,287.04 = 4,596/x
  3. Step 3: Cross multiply
    6,010.56x = 8,287.04 × 4,596
  4. Step 4: Simplify right side
    6,010.56x = 38,087,235.84
  5. Step 5: Solve for x
    x = 38,087,235.84/6,010.56
  6. Step 6: Final answer
    x = 6,336.72

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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.