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Finding the Fourth Proportional to 6,508.40, 9,762.57 and 5,029.77

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Solution

The fourth proportional to 6,508.40, 9,762.57 and 5,029.77 is: 7,544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.40 : 9,762.57 = 5,029.77 : x
  2. Step 2: Convert to fraction form
    6,508.40/9,762.57 = 5,029.77/x
  3. Step 3: Cross multiply
    6,508.40x = 9,762.57 × 5,029.77
  4. Step 4: Simplify right side
    6,508.40x = 49,103,481.71
  5. Step 5: Solve for x
    x = 49,103,481.71/6,508.40
  6. Step 6: Final answer
    x = 7,544.63

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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.