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Finding the Fourth Proportional to 10,046.65, 15,070.71 and 3,383.17

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Solution

The fourth proportional to 10,046.65, 15,070.71 and 3,383.17 is: 5,075.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.65 : 15,070.71 = 3,383.17 : x
  2. Step 2: Convert to fraction form
    10,046.65/15,070.71 = 3,383.17/x
  3. Step 3: Cross multiply
    10,046.65x = 15,070.71 × 3,383.17
  4. Step 4: Simplify right side
    10,046.65x = 50,986,773.95
  5. Step 5: Solve for x
    x = 50,986,773.95/10,046.65
  6. Step 6: Final answer
    x = 5,075.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.