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Finding the Fourth Proportional to 11,538.45, 15,925.14 and 6,825.06

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Solution

The fourth proportional to 11,538.45, 15,925.14 and 6,825.06 is: 9,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.45 : 15,925.14 = 6,825.06 : x
  2. Step 2: Convert to fraction form
    11,538.45/15,925.14 = 6,825.06/x
  3. Step 3: Cross multiply
    11,538.45x = 15,925.14 × 6,825.06
  4. Step 4: Simplify right side
    11,538.45x = 108,690,036.01
  5. Step 5: Solve for x
    x = 108,690,036.01/11,538.45
  6. Step 6: Final answer
    x = 9,419.81

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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.