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Finding the Fourth Proportional to 7,252.25, 10,005.80 and 4,065.10

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Solution

The fourth proportional to 7,252.25, 10,005.80 and 4,065.10 is: 5,608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,252.25 : 10,005.80 = 4,065.10 : x
  2. Step 2: Convert to fraction form
    7,252.25/10,005.80 = 4,065.10/x
  3. Step 3: Cross multiply
    7,252.25x = 10,005.80 × 4,065.10
  4. Step 4: Simplify right side
    7,252.25x = 40,674,532.24
  5. Step 5: Solve for x
    x = 40,674,532.24/7,252.25
  6. Step 6: Final answer
    x = 5,608.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.