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Finding the Fourth Proportional to 11,533.42, 15,917.31 and 7,060.15

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Solution

The fourth proportional to 11,533.42, 15,917.31 and 7,060.15 is: 9,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.42 : 15,917.31 = 7,060.15 : x
  2. Step 2: Convert to fraction form
    11,533.42/15,917.31 = 7,060.15/x
  3. Step 3: Cross multiply
    11,533.42x = 15,917.31 × 7,060.15
  4. Step 4: Simplify right side
    11,533.42x = 112,378,596.20
  5. Step 5: Solve for x
    x = 112,378,596.20/11,533.42
  6. Step 6: Final answer
    x = 9,743.74

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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.