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Finding the Fourth Proportional to 12,482.12, 17,228.28 and 7,180

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Solution

The fourth proportional to 12,482.12, 17,228.28 and 7,180 is: 9,910.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,482.12 : 17,228.28 = 7,180 : x
  2. Step 2: Convert to fraction form
    12,482.12/17,228.28 = 7,180/x
  3. Step 3: Cross multiply
    12,482.12x = 17,228.28 × 7,180
  4. Step 4: Simplify right side
    12,482.12x = 123,699,050.40
  5. Step 5: Solve for x
    x = 123,699,050.40/12,482.12
  6. Step 6: Final answer
    x = 9,910.10

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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.