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Finding the Fourth Proportional to 8,530.32, 12,794.08 and 6,057.66

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Solution

The fourth proportional to 8,530.32, 12,794.08 and 6,057.66 is: 9,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.32 : 12,794.08 = 6,057.66 : x
  2. Step 2: Convert to fraction form
    8,530.32/12,794.08 = 6,057.66/x
  3. Step 3: Cross multiply
    8,530.32x = 12,794.08 × 6,057.66
  4. Step 4: Simplify right side
    8,530.32x = 77,502,186.65
  5. Step 5: Solve for x
    x = 77,502,186.65/8,530.32
  6. Step 6: Final answer
    x = 9,085.50

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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.