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Finding the Fourth Proportional to 8,289.48, 12,429.90 and 3,091.08

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Solution

The fourth proportional to 8,289.48, 12,429.90 and 3,091.08 is: 4,635.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.48 : 12,429.90 = 3,091.08 : x
  2. Step 2: Convert to fraction form
    8,289.48/12,429.90 = 3,091.08/x
  3. Step 3: Cross multiply
    8,289.48x = 12,429.90 × 3,091.08
  4. Step 4: Simplify right side
    8,289.48x = 38,421,815.29
  5. Step 5: Solve for x
    x = 38,421,815.29/8,289.48
  6. Step 6: Final answer
    x = 4,635.01

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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.