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Finding the Fourth Proportional to 6,357.45, 8,753.70 and 5,648.06

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Solution

The fourth proportional to 6,357.45, 8,753.70 and 5,648.06 is: 7,776.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.45 : 8,753.70 = 5,648.06 : x
  2. Step 2: Convert to fraction form
    6,357.45/8,753.70 = 5,648.06/x
  3. Step 3: Cross multiply
    6,357.45x = 8,753.70 × 5,648.06
  4. Step 4: Simplify right side
    6,357.45x = 49,441,379.05
  5. Step 5: Solve for x
    x = 49,441,379.05/6,357.45
  6. Step 6: Final answer
    x = 7,776.92

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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.