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Finding the Fourth Proportional to 7,223.76, 10,834.02 and 4,724.16

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Solution

The fourth proportional to 7,223.76, 10,834.02 and 4,724.16 is: 7,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.76 : 10,834.02 = 4,724.16 : x
  2. Step 2: Convert to fraction form
    7,223.76/10,834.02 = 4,724.16/x
  3. Step 3: Cross multiply
    7,223.76x = 10,834.02 × 4,724.16
  4. Step 4: Simplify right side
    7,223.76x = 51,181,643.92
  5. Step 5: Solve for x
    x = 51,181,643.92/7,223.76
  6. Step 6: Final answer
    x = 7,085.18

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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.