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Finding the Fourth Proportional to 11,507.30, 15,878.43 and 6,471.33

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Solution

The fourth proportional to 11,507.30, 15,878.43 and 6,471.33 is: 8,929.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.30 : 15,878.43 = 6,471.33 : x
  2. Step 2: Convert to fraction form
    11,507.30/15,878.43 = 6,471.33/x
  3. Step 3: Cross multiply
    11,507.30x = 15,878.43 × 6,471.33
  4. Step 4: Simplify right side
    11,507.30x = 102,754,500.87
  5. Step 5: Solve for x
    x = 102,754,500.87/11,507.30
  6. Step 6: Final answer
    x = 8,929.51

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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.