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Finding the Fourth Proportional to 8,547.64, 12,822.67 and 2,702.95

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Solution

The fourth proportional to 8,547.64, 12,822.67 and 2,702.95 is: 4,054.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.64 : 12,822.67 = 2,702.95 : x
  2. Step 2: Convert to fraction form
    8,547.64/12,822.67 = 2,702.95/x
  3. Step 3: Cross multiply
    8,547.64x = 12,822.67 × 2,702.95
  4. Step 4: Simplify right side
    8,547.64x = 34,659,035.88
  5. Step 5: Solve for x
    x = 34,659,035.88/8,547.64
  6. Step 6: Final answer
    x = 4,054.81

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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.