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Finding the Fourth Proportional to 7,225.06, 10,852.16 and 4,309.06

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Solution

The fourth proportional to 7,225.06, 10,852.16 and 4,309.06 is: 6,472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.06 : 10,852.16 = 4,309.06 : x
  2. Step 2: Convert to fraction form
    7,225.06/10,852.16 = 4,309.06/x
  3. Step 3: Cross multiply
    7,225.06x = 10,852.16 × 4,309.06
  4. Step 4: Simplify right side
    7,225.06x = 46,762,608.57
  5. Step 5: Solve for x
    x = 46,762,608.57/7,225.06
  6. Step 6: Final answer
    x = 6,472.28

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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.