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Finding the Fourth Proportional to 7,410.96, 10,237.10 and 5,929.47

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Solution

The fourth proportional to 7,410.96, 10,237.10 and 5,929.47 is: 8,190.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410.96 : 10,237.10 = 5,929.47 : x
  2. Step 2: Convert to fraction form
    7,410.96/10,237.10 = 5,929.47/x
  3. Step 3: Cross multiply
    7,410.96x = 10,237.10 × 5,929.47
  4. Step 4: Simplify right side
    7,410.96x = 60,700,577.34
  5. Step 5: Solve for x
    x = 60,700,577.34/7,410.96
  6. Step 6: Final answer
    x = 8,190.65

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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.