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Finding the Fourth Proportional to 10,008.30, 15,012.77 and 3,434.40

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Solution

The fourth proportional to 10,008.30, 15,012.77 and 3,434.40 is: 5,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.30 : 15,012.77 = 3,434.40 : x
  2. Step 2: Convert to fraction form
    10,008.30/15,012.77 = 3,434.40/x
  3. Step 3: Cross multiply
    10,008.30x = 15,012.77 × 3,434.40
  4. Step 4: Simplify right side
    10,008.30x = 51,559,840.12
  5. Step 5: Solve for x
    x = 51,559,840.12/10,008.30
  6. Step 6: Final answer
    x = 5,151.71

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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.