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Finding the Fourth Proportional to 8,064.64, 12,094.93 and 2,869.30

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Solution

The fourth proportional to 8,064.64, 12,094.93 and 2,869.30 is: 4,303.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.64 : 12,094.93 = 2,869.30 : x
  2. Step 2: Convert to fraction form
    8,064.64/12,094.93 = 2,869.30/x
  3. Step 3: Cross multiply
    8,064.64x = 12,094.93 × 2,869.30
  4. Step 4: Simplify right side
    8,064.64x = 34,703,982.65
  5. Step 5: Solve for x
    x = 34,703,982.65/8,064.64
  6. Step 6: Final answer
    x = 4,303.23

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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.