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Finding the Fourth Proportional to 10,009.68, 15,014.82 and 3,435.77

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Solution

The fourth proportional to 10,009.68, 15,014.82 and 3,435.77 is: 5,153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.68 : 15,014.82 = 3,435.77 : x
  2. Step 2: Convert to fraction form
    10,009.68/15,014.82 = 3,435.77/x
  3. Step 3: Cross multiply
    10,009.68x = 15,014.82 × 3,435.77
  4. Step 4: Simplify right side
    10,009.68x = 51,587,468.11
  5. Step 5: Solve for x
    x = 51,587,468.11/10,009.68
  6. Step 6: Final answer
    x = 5,153.76

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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.