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Finding the Fourth Proportional to 11,314.15, 15,609.31 and 6,533.53

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Solution

The fourth proportional to 11,314.15, 15,609.31 and 6,533.53 is: 9,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.15 : 15,609.31 = 6,533.53 : x
  2. Step 2: Convert to fraction form
    11,314.15/15,609.31 = 6,533.53/x
  3. Step 3: Cross multiply
    11,314.15x = 15,609.31 × 6,533.53
  4. Step 4: Simplify right side
    11,314.15x = 101,983,895.16
  5. Step 5: Solve for x
    x = 101,983,895.16/11,314.15
  6. Step 6: Final answer
    x = 9,013.84

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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.