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Finding the Fourth Proportional to 12,407.16, 18,599.79 and 4,610.50

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Solution

The fourth proportional to 12,407.16, 18,599.79 and 4,610.50 is: 6,911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.16 : 18,599.79 = 4,610.50 : x
  2. Step 2: Convert to fraction form
    12,407.16/18,599.79 = 4,610.50/x
  3. Step 3: Cross multiply
    12,407.16x = 18,599.79 × 4,610.50
  4. Step 4: Simplify right side
    12,407.16x = 85,754,331.80
  5. Step 5: Solve for x
    x = 85,754,331.80/12,407.16
  6. Step 6: Final answer
    x = 6,911.68

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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.