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Finding the Fourth Proportional to 8,314.50, 11,474.03 and 4,588.50

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Solution

The fourth proportional to 8,314.50, 11,474.03 and 4,588.50 is: 6,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.50 : 11,474.03 = 4,588.50 : x
  2. Step 2: Convert to fraction form
    8,314.50/11,474.03 = 4,588.50/x
  3. Step 3: Cross multiply
    8,314.50x = 11,474.03 × 4,588.50
  4. Step 4: Simplify right side
    8,314.50x = 52,648,563.71
  5. Step 5: Solve for x
    x = 52,648,563.71/8,314.50
  6. Step 6: Final answer
    x = 6,332.14

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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.