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Finding the Fourth Proportional to 11,465.82, 15,826.21 and 7,487.57

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Solution

The fourth proportional to 11,465.82, 15,826.21 and 7,487.57 is: 10,335.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.82 : 15,826.21 = 7,487.57 : x
  2. Step 2: Convert to fraction form
    11,465.82/15,826.21 = 7,487.57/x
  3. Step 3: Cross multiply
    11,465.82x = 15,826.21 × 7,487.57
  4. Step 4: Simplify right side
    11,465.82x = 118,499,876.06
  5. Step 5: Solve for x
    x = 118,499,876.06/11,465.82
  6. Step 6: Final answer
    x = 10,335.05

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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.