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Finding the Fourth Proportional to 7,419.60, 10,241.24 and 4,767.86

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Solution

The fourth proportional to 7,419.60, 10,241.24 and 4,767.86 is: 6,581.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419.60 : 10,241.24 = 4,767.86 : x
  2. Step 2: Convert to fraction form
    7,419.60/10,241.24 = 4,767.86/x
  3. Step 3: Cross multiply
    7,419.60x = 10,241.24 × 4,767.86
  4. Step 4: Simplify right side
    7,419.60x = 48,828,800.31
  5. Step 5: Solve for x
    x = 48,828,800.31/7,419.60
  6. Step 6: Final answer
    x = 6,581.06

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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.