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Finding the Fourth Proportional to 9,015.60, 13,523.24 and 7,538.16

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Solution

The fourth proportional to 9,015.60, 13,523.24 and 7,538.16 is: 11,307.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,015.60 : 13,523.24 = 7,538.16 : x
  2. Step 2: Convert to fraction form
    9,015.60/13,523.24 = 7,538.16/x
  3. Step 3: Cross multiply
    9,015.60x = 13,523.24 × 7,538.16
  4. Step 4: Simplify right side
    9,015.60x = 101,940,346.84
  5. Step 5: Solve for x
    x = 101,940,346.84/9,015.60
  6. Step 6: Final answer
    x = 11,307.11

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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.