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Finding the Fourth Proportional to 8,357.42, 11,538.50 and 5,378.45

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Solution

The fourth proportional to 8,357.42, 11,538.50 and 5,378.45 is: 7,425.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.42 : 11,538.50 = 5,378.45 : x
  2. Step 2: Convert to fraction form
    8,357.42/11,538.50 = 5,378.45/x
  3. Step 3: Cross multiply
    8,357.42x = 11,538.50 × 5,378.45
  4. Step 4: Simplify right side
    8,357.42x = 62,059,160.74
  5. Step 5: Solve for x
    x = 62,059,160.74/8,357.42
  6. Step 6: Final answer
    x = 7,425.63

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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.