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Finding the Fourth Proportional to 10,008.68, 15,013.32 and 3,434.77

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Solution

The fourth proportional to 10,008.68, 15,013.32 and 3,434.77 is: 5,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.68 : 15,013.32 = 3,434.77 : x
  2. Step 2: Convert to fraction form
    10,008.68/15,013.32 = 3,434.77/x
  3. Step 3: Cross multiply
    10,008.68x = 15,013.32 × 3,434.77
  4. Step 4: Simplify right side
    10,008.68x = 51,567,301.14
  5. Step 5: Solve for x
    x = 51,567,301.14/10,008.68
  6. Step 6: Final answer
    x = 5,152.26

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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.