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Finding the Fourth Proportional to 8,287.02, 12,423.50 and 3,603.50

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Solution

The fourth proportional to 8,287.02, 12,423.50 and 3,603.50 is: 5,402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.02 : 12,423.50 = 3,603.50 : x
  2. Step 2: Convert to fraction form
    8,287.02/12,423.50 = 3,603.50/x
  3. Step 3: Cross multiply
    8,287.02x = 12,423.50 × 3,603.50
  4. Step 4: Simplify right side
    8,287.02x = 44,768,082.25
  5. Step 5: Solve for x
    x = 44,768,082.25/8,287.02
  6. Step 6: Final answer
    x = 5,402.19

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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.