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Finding the Fourth Proportional to 11,258.72, 15,538.39 and 7,066.16

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Solution

The fourth proportional to 11,258.72, 15,538.39 and 7,066.16 is: 9,752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,258.72 : 15,538.39 = 7,066.16 : x
  2. Step 2: Convert to fraction form
    11,258.72/15,538.39 = 7,066.16/x
  3. Step 3: Cross multiply
    11,258.72x = 15,538.39 × 7,066.16
  4. Step 4: Simplify right side
    11,258.72x = 109,796,654.53
  5. Step 5: Solve for x
    x = 109,796,654.53/11,258.72
  6. Step 6: Final answer
    x = 9,752.15

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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.