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Finding the Fourth Proportional to 7,842.12, 10,820.64 and 5,326.24

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Solution

The fourth proportional to 7,842.12, 10,820.64 and 5,326.24 is: 7,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.12 : 10,820.64 = 5,326.24 : x
  2. Step 2: Convert to fraction form
    7,842.12/10,820.64 = 5,326.24/x
  3. Step 3: Cross multiply
    7,842.12x = 10,820.64 × 5,326.24
  4. Step 4: Simplify right side
    7,842.12x = 57,633,325.59
  5. Step 5: Solve for x
    x = 57,633,325.59/7,842.12
  6. Step 6: Final answer
    x = 7,349.20

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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.