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Finding the Fourth Proportional to 7,263.84, 10,024.56 and 4,118.88

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Solution

The fourth proportional to 7,263.84, 10,024.56 and 4,118.88 is: 5,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.84 : 10,024.56 = 4,118.88 : x
  2. Step 2: Convert to fraction form
    7,263.84/10,024.56 = 4,118.88/x
  3. Step 3: Cross multiply
    7,263.84x = 10,024.56 × 4,118.88
  4. Step 4: Simplify right side
    7,263.84x = 41,289,959.69
  5. Step 5: Solve for x
    x = 41,289,959.69/7,263.84
  6. Step 6: Final answer
    x = 5,684.32

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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.