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Finding the Fourth Proportional to 11,525.40, 15,904.62 and 7,049.34

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Solution

The fourth proportional to 11,525.40, 15,904.62 and 7,049.34 is: 9,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.40 : 15,904.62 = 7,049.34 : x
  2. Step 2: Convert to fraction form
    11,525.40/15,904.62 = 7,049.34/x
  3. Step 3: Cross multiply
    11,525.40x = 15,904.62 × 7,049.34
  4. Step 4: Simplify right side
    11,525.40x = 112,117,073.95
  5. Step 5: Solve for x
    x = 112,117,073.95/11,525.40
  6. Step 6: Final answer
    x = 9,727.82

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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.