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Finding the Fourth Proportional to 8,263, 12,386.30 and 4,566.97

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Solution

The fourth proportional to 8,263, 12,386.30 and 4,566.97 is: 6,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263 : 12,386.30 = 4,566.97 : x
  2. Step 2: Convert to fraction form
    8,263/12,386.30 = 4,566.97/x
  3. Step 3: Cross multiply
    8,263x = 12,386.30 × 4,566.97
  4. Step 4: Simplify right side
    8,263x = 56,567,860.51
  5. Step 5: Solve for x
    x = 56,567,860.51/8,263
  6. Step 6: Final answer
    x = 6,845.92

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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.