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Finding the Fourth Proportional to 8,365.64, 12,545.28 and 2,742.00

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Solution

The fourth proportional to 8,365.64, 12,545.28 and 2,742.00 is: 4,111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.64 : 12,545.28 = 2,742.00 : x
  2. Step 2: Convert to fraction form
    8,365.64/12,545.28 = 2,742.00/x
  3. Step 3: Cross multiply
    8,365.64x = 12,545.28 × 2,742.00
  4. Step 4: Simplify right side
    8,365.64x = 34,399,110.72
  5. Step 5: Solve for x
    x = 34,399,110.72/8,365.64
  6. Step 6: Final answer
    x = 4,111.95

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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.