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Finding the Fourth Proportional to 8,547.60, 12,822.80 and 2,702.80

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Solution

The fourth proportional to 8,547.60, 12,822.80 and 2,702.80 is: 4,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.60 : 12,822.80 = 2,702.80 : x
  2. Step 2: Convert to fraction form
    8,547.60/12,822.80 = 2,702.80/x
  3. Step 3: Cross multiply
    8,547.60x = 12,822.80 × 2,702.80
  4. Step 4: Simplify right side
    8,547.60x = 34,657,463.84
  5. Step 5: Solve for x
    x = 34,657,463.84/8,547.60
  6. Step 6: Final answer
    x = 4,054.64

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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.