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Finding the Fourth Proportional to 7,263.64, 10,024.06 and 4,119.96

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Solution

The fourth proportional to 7,263.64, 10,024.06 and 4,119.96 is: 5,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.64 : 10,024.06 = 4,119.96 : x
  2. Step 2: Convert to fraction form
    7,263.64/10,024.06 = 4,119.96/x
  3. Step 3: Cross multiply
    7,263.64x = 10,024.06 × 4,119.96
  4. Step 4: Simplify right side
    7,263.64x = 41,298,726.24
  5. Step 5: Solve for x
    x = 41,298,726.24/7,263.64
  6. Step 6: Final answer
    x = 5,685.68

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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.