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Finding the Fourth Proportional to 8,529.04, 12,794.40 and 2,980.80

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Solution

The fourth proportional to 8,529.04, 12,794.40 and 2,980.80 is: 4,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.04 : 12,794.40 = 2,980.80 : x
  2. Step 2: Convert to fraction form
    8,529.04/12,794.40 = 2,980.80/x
  3. Step 3: Cross multiply
    8,529.04x = 12,794.40 × 2,980.80
  4. Step 4: Simplify right side
    8,529.04x = 38,137,547.52
  5. Step 5: Solve for x
    x = 38,137,547.52/8,529.04
  6. Step 6: Final answer
    x = 4,471.49

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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.