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Finding the Fourth Proportional to 7,221.52, 9,966.36 and 4,078

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Solution

The fourth proportional to 7,221.52, 9,966.36 and 4,078 is: 5,628.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.52 : 9,966.36 = 4,078 : x
  2. Step 2: Convert to fraction form
    7,221.52/9,966.36 = 4,078/x
  3. Step 3: Cross multiply
    7,221.52x = 9,966.36 × 4,078
  4. Step 4: Simplify right side
    7,221.52x = 40,642,816.08
  5. Step 5: Solve for x
    x = 40,642,816.08/7,221.52
  6. Step 6: Final answer
    x = 5,628.01

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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.