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Finding the Fourth Proportional to 7,820.72, 10,774.44 and 5,459.12

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Solution

The fourth proportional to 7,820.72, 10,774.44 and 5,459.12 is: 7,520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.72 : 10,774.44 = 5,459.12 : x
  2. Step 2: Convert to fraction form
    7,820.72/10,774.44 = 5,459.12/x
  3. Step 3: Cross multiply
    7,820.72x = 10,774.44 × 5,459.12
  4. Step 4: Simplify right side
    7,820.72x = 58,818,960.89
  5. Step 5: Solve for x
    x = 58,818,960.89/7,820.72
  6. Step 6: Final answer
    x = 7,520.91

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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.