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Finding the Fourth Proportional to 7,378.90, 11,009.71 and 6,856.31

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Solution

The fourth proportional to 7,378.90, 11,009.71 and 6,856.31 is: 10,229.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.90 : 11,009.71 = 6,856.31 : x
  2. Step 2: Convert to fraction form
    7,378.90/11,009.71 = 6,856.31/x
  3. Step 3: Cross multiply
    7,378.90x = 11,009.71 × 6,856.31
  4. Step 4: Simplify right side
    7,378.90x = 75,485,984.77
  5. Step 5: Solve for x
    x = 75,485,984.77/7,378.90
  6. Step 6: Final answer
    x = 10,229.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.