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Finding the Fourth Proportional to 8,432.75, 12,646.71 and 2,509.40

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Solution

The fourth proportional to 8,432.75, 12,646.71 and 2,509.40 is: 3,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.75 : 12,646.71 = 2,509.40 : x
  2. Step 2: Convert to fraction form
    8,432.75/12,646.71 = 2,509.40/x
  3. Step 3: Cross multiply
    8,432.75x = 12,646.71 × 2,509.40
  4. Step 4: Simplify right side
    8,432.75x = 31,735,590.84
  5. Step 5: Solve for x
    x = 31,735,590.84/8,432.75
  6. Step 6: Final answer
    x = 3,763.38

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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.