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Finding the Fourth Proportional to 8,291.30, 12,440.93 and 5,170.50

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Solution

The fourth proportional to 8,291.30, 12,440.93 and 5,170.50 is: 7,758.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.30 : 12,440.93 = 5,170.50 : x
  2. Step 2: Convert to fraction form
    8,291.30/12,440.93 = 5,170.50/x
  3. Step 3: Cross multiply
    8,291.30x = 12,440.93 × 5,170.50
  4. Step 4: Simplify right side
    8,291.30x = 64,325,802.71
  5. Step 5: Solve for x
    x = 64,325,802.71/8,291.30
  6. Step 6: Final answer
    x = 7,758.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.