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Finding the Fourth Proportional to 8,111.68, 12,167.52 and 4,646.50

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Solution

The fourth proportional to 8,111.68, 12,167.52 and 4,646.50 is: 6,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.68 : 12,167.52 = 4,646.50 : x
  2. Step 2: Convert to fraction form
    8,111.68/12,167.52 = 4,646.50/x
  3. Step 3: Cross multiply
    8,111.68x = 12,167.52 × 4,646.50
  4. Step 4: Simplify right side
    8,111.68x = 56,536,381.68
  5. Step 5: Solve for x
    x = 56,536,381.68/8,111.68
  6. Step 6: Final answer
    x = 6,969.75

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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.