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Finding the Fourth Proportional to 7,225.60, 10,790.16 and 6,856.56

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Solution

The fourth proportional to 7,225.60, 10,790.16 and 6,856.56 is: 10,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.60 : 10,790.16 = 6,856.56 : x
  2. Step 2: Convert to fraction form
    7,225.60/10,790.16 = 6,856.56/x
  3. Step 3: Cross multiply
    7,225.60x = 10,790.16 × 6,856.56
  4. Step 4: Simplify right side
    7,225.60x = 73,983,379.45
  5. Step 5: Solve for x
    x = 73,983,379.45/7,225.60
  6. Step 6: Final answer
    x = 10,239.06

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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.