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Finding the Fourth Proportional to 8,402.28, 12,594.63 and 3,135

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Solution

The fourth proportional to 8,402.28, 12,594.63 and 3,135 is: 4,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.28 : 12,594.63 = 3,135 : x
  2. Step 2: Convert to fraction form
    8,402.28/12,594.63 = 3,135/x
  3. Step 3: Cross multiply
    8,402.28x = 12,594.63 × 3,135
  4. Step 4: Simplify right side
    8,402.28x = 39,484,165.05
  5. Step 5: Solve for x
    x = 39,484,165.05/8,402.28
  6. Step 6: Final answer
    x = 4,699.22

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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.