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Finding the Fourth Proportional to 7,462.04, 10,365.11 and 7,343

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Solution

The fourth proportional to 7,462.04, 10,365.11 and 7,343 is: 10,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.04 : 10,365.11 = 7,343 : x
  2. Step 2: Convert to fraction form
    7,462.04/10,365.11 = 7,343/x
  3. Step 3: Cross multiply
    7,462.04x = 10,365.11 × 7,343
  4. Step 4: Simplify right side
    7,462.04x = 76,111,002.73
  5. Step 5: Solve for x
    x = 76,111,002.73/7,462.04
  6. Step 6: Final answer
    x = 10,199.76

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.