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Finding the Fourth Proportional to 7,242.32, 10,856.28 and 4,316.24

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Solution

The fourth proportional to 7,242.32, 10,856.28 and 4,316.24 is: 6,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.32 : 10,856.28 = 4,316.24 : x
  2. Step 2: Convert to fraction form
    7,242.32/10,856.28 = 4,316.24/x
  3. Step 3: Cross multiply
    7,242.32x = 10,856.28 × 4,316.24
  4. Step 4: Simplify right side
    7,242.32x = 46,858,309.99
  5. Step 5: Solve for x
    x = 46,858,309.99/7,242.32
  6. Step 6: Final answer
    x = 6,470.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.