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Finding the Fourth Proportional to 8,313.60, 11,471.74 and 4,587.36

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Solution

The fourth proportional to 8,313.60, 11,471.74 and 4,587.36 is: 6,329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.60 : 11,471.74 = 4,587.36 : x
  2. Step 2: Convert to fraction form
    8,313.60/11,471.74 = 4,587.36/x
  3. Step 3: Cross multiply
    8,313.60x = 11,471.74 × 4,587.36
  4. Step 4: Simplify right side
    8,313.60x = 52,625,001.21
  5. Step 5: Solve for x
    x = 52,625,001.21/8,313.60
  6. Step 6: Final answer
    x = 6,329.99

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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.