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Finding the Fourth Proportional to 8,430.54, 12,645.36 and 2,587.17

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Solution

The fourth proportional to 8,430.54, 12,645.36 and 2,587.17 is: 3,880.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.54 : 12,645.36 = 2,587.17 : x
  2. Step 2: Convert to fraction form
    8,430.54/12,645.36 = 2,587.17/x
  3. Step 3: Cross multiply
    8,430.54x = 12,645.36 × 2,587.17
  4. Step 4: Simplify right side
    8,430.54x = 32,715,696.03
  5. Step 5: Solve for x
    x = 32,715,696.03/8,430.54
  6. Step 6: Final answer
    x = 3,880.62

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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.