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Finding the Fourth Proportional to 8,417.90, 12,611.46 and 7,102.20

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Solution

The fourth proportional to 8,417.90, 12,611.46 and 7,102.20 is: 10,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.90 : 12,611.46 = 7,102.20 : x
  2. Step 2: Convert to fraction form
    8,417.90/12,611.46 = 7,102.20/x
  3. Step 3: Cross multiply
    8,417.90x = 12,611.46 × 7,102.20
  4. Step 4: Simplify right side
    8,417.90x = 89,569,111.21
  5. Step 5: Solve for x
    x = 89,569,111.21/8,417.90
  6. Step 6: Final answer
    x = 10,640.32

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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.