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Finding the Fourth Proportional to 8,271.02, 12,407.18 and 2,347.81

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Solution

The fourth proportional to 8,271.02, 12,407.18 and 2,347.81 is: 3,521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.02 : 12,407.18 = 2,347.81 : x
  2. Step 2: Convert to fraction form
    8,271.02/12,407.18 = 2,347.81/x
  3. Step 3: Cross multiply
    8,271.02x = 12,407.18 × 2,347.81
  4. Step 4: Simplify right side
    8,271.02x = 29,129,627.50
  5. Step 5: Solve for x
    x = 29,129,627.50/8,271.02
  6. Step 6: Final answer
    x = 3,521.89

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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.