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Finding the Fourth Proportional to 7,774.78, 10,720.72 and 5,252.51

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Solution

The fourth proportional to 7,774.78, 10,720.72 and 5,252.51 is: 7,242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.78 : 10,720.72 = 5,252.51 : x
  2. Step 2: Convert to fraction form
    7,774.78/10,720.72 = 5,252.51/x
  3. Step 3: Cross multiply
    7,774.78x = 10,720.72 × 5,252.51
  4. Step 4: Simplify right side
    7,774.78x = 56,310,609.14
  5. Step 5: Solve for x
    x = 56,310,609.14/7,774.78
  6. Step 6: Final answer
    x = 7,242.73

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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.