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Finding the Fourth Proportional to 7,447.60, 10,276.77 and 4,462.93

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Solution

The fourth proportional to 7,447.60, 10,276.77 and 4,462.93 is: 6,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.60 : 10,276.77 = 4,462.93 : x
  2. Step 2: Convert to fraction form
    7,447.60/10,276.77 = 4,462.93/x
  3. Step 3: Cross multiply
    7,447.60x = 10,276.77 × 4,462.93
  4. Step 4: Simplify right side
    7,447.60x = 45,864,505.14
  5. Step 5: Solve for x
    x = 45,864,505.14/7,447.60
  6. Step 6: Final answer
    x = 6,158.29

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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.