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Finding the Fourth Proportional to 10,645.30, 15,948.49 and 7,716.34

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Solution

The fourth proportional to 10,645.30, 15,948.49 and 7,716.34 is: 11,560.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.30 : 15,948.49 = 7,716.34 : x
  2. Step 2: Convert to fraction form
    10,645.30/15,948.49 = 7,716.34/x
  3. Step 3: Cross multiply
    10,645.30x = 15,948.49 × 7,716.34
  4. Step 4: Simplify right side
    10,645.30x = 123,063,971.33
  5. Step 5: Solve for x
    x = 123,063,971.33/10,645.30
  6. Step 6: Final answer
    x = 11,560.40

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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.