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Finding the Fourth Proportional to 8,357.81, 11,528.25 and 5,377.43

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Solution

The fourth proportional to 8,357.81, 11,528.25 and 5,377.43 is: 7,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.81 : 11,528.25 = 5,377.43 : x
  2. Step 2: Convert to fraction form
    8,357.81/11,528.25 = 5,377.43/x
  3. Step 3: Cross multiply
    8,357.81x = 11,528.25 × 5,377.43
  4. Step 4: Simplify right side
    8,357.81x = 61,992,357.40
  5. Step 5: Solve for x
    x = 61,992,357.40/8,357.81
  6. Step 6: Final answer
    x = 7,417.30

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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.