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Finding the Fourth Proportional to 8,089.50, 12,139.92 and 2,895.51

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Solution

The fourth proportional to 8,089.50, 12,139.92 and 2,895.51 is: 4,345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.50 : 12,139.92 = 2,895.51 : x
  2. Step 2: Convert to fraction form
    8,089.50/12,139.92 = 2,895.51/x
  3. Step 3: Cross multiply
    8,089.50x = 12,139.92 × 2,895.51
  4. Step 4: Simplify right side
    8,089.50x = 35,151,259.76
  5. Step 5: Solve for x
    x = 35,151,259.76/8,089.50
  6. Step 6: Final answer
    x = 4,345.29

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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.