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Finding the Fourth Proportional to 12,310.08, 16,987.68 and 7,005.12

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Solution

The fourth proportional to 12,310.08, 16,987.68 and 7,005.12 is: 9,666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.08 : 16,987.68 = 7,005.12 : x
  2. Step 2: Convert to fraction form
    12,310.08/16,987.68 = 7,005.12/x
  3. Step 3: Cross multiply
    12,310.08x = 16,987.68 × 7,005.12
  4. Step 4: Simplify right side
    12,310.08x = 119,000,736.92
  5. Step 5: Solve for x
    x = 119,000,736.92/12,310.08
  6. Step 6: Final answer
    x = 9,666.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.