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Finding the Fourth Proportional to 12,671.10, 17,486.28 and 7,005.78

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Solution

The fourth proportional to 12,671.10, 17,486.28 and 7,005.78 is: 9,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,671.10 : 17,486.28 = 7,005.78 : x
  2. Step 2: Convert to fraction form
    12,671.10/17,486.28 = 7,005.78/x
  3. Step 3: Cross multiply
    12,671.10x = 17,486.28 × 7,005.78
  4. Step 4: Simplify right side
    12,671.10x = 122,505,030.70
  5. Step 5: Solve for x
    x = 122,505,030.70/12,671.10
  6. Step 6: Final answer
    x = 9,668.07

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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.