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Finding the Fourth Proportional to 8,327.77, 12,488.01 and 3,130

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Solution

The fourth proportional to 8,327.77, 12,488.01 and 3,130 is: 4,693.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.77 : 12,488.01 = 3,130 : x
  2. Step 2: Convert to fraction form
    8,327.77/12,488.01 = 3,130/x
  3. Step 3: Cross multiply
    8,327.77x = 12,488.01 × 3,130
  4. Step 4: Simplify right side
    8,327.77x = 39,087,471.30
  5. Step 5: Solve for x
    x = 39,087,471.30/8,327.77
  6. Step 6: Final answer
    x = 4,693.63

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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.