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Finding the Fourth Proportional to 8,291.02, 12,429.50 and 3,607.50

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Solution

The fourth proportional to 8,291.02, 12,429.50 and 3,607.50 is: 5,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.02 : 12,429.50 = 3,607.50 : x
  2. Step 2: Convert to fraction form
    8,291.02/12,429.50 = 3,607.50/x
  3. Step 3: Cross multiply
    8,291.02x = 12,429.50 × 3,607.50
  4. Step 4: Simplify right side
    8,291.02x = 44,839,421.25
  5. Step 5: Solve for x
    x = 44,839,421.25/8,291.02
  6. Step 6: Final answer
    x = 5,408.19

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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.