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Finding the Fourth Proportional to 7,841.12, 10,820.64 and 4,484.48

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Solution

The fourth proportional to 7,841.12, 10,820.64 and 4,484.48 is: 6,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.12 : 10,820.64 = 4,484.48 : x
  2. Step 2: Convert to fraction form
    7,841.12/10,820.64 = 4,484.48/x
  3. Step 3: Cross multiply
    7,841.12x = 10,820.64 × 4,484.48
  4. Step 4: Simplify right side
    7,841.12x = 48,524,943.67
  5. Step 5: Solve for x
    x = 48,524,943.67/7,841.12
  6. Step 6: Final answer
    x = 6,188.52

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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.