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Finding the Fourth Proportional to 7,252.56, 10,009.44 and 4,109.76

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Solution

The fourth proportional to 7,252.56, 10,009.44 and 4,109.76 is: 5,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,252.56 : 10,009.44 = 4,109.76 : x
  2. Step 2: Convert to fraction form
    7,252.56/10,009.44 = 4,109.76/x
  3. Step 3: Cross multiply
    7,252.56x = 10,009.44 × 4,109.76
  4. Step 4: Simplify right side
    7,252.56x = 41,136,396.13
  5. Step 5: Solve for x
    x = 41,136,396.13/7,252.56
  6. Step 6: Final answer
    x = 5,671.98

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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.