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Finding the Fourth Proportional to 6,506.40, 9,759.57 and 5,027.77

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Solution

The fourth proportional to 6,506.40, 9,759.57 and 5,027.77 is: 7,541.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.40 : 9,759.57 = 5,027.77 : x
  2. Step 2: Convert to fraction form
    6,506.40/9,759.57 = 5,027.77/x
  3. Step 3: Cross multiply
    6,506.40x = 9,759.57 × 5,027.77
  4. Step 4: Simplify right side
    6,506.40x = 49,068,873.26
  5. Step 5: Solve for x
    x = 49,068,873.26/6,506.40
  6. Step 6: Final answer
    x = 7,541.63

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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.