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Finding the Fourth Proportional to 7,446.72, 10,276.02 and 4,089.36

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Solution

The fourth proportional to 7,446.72, 10,276.02 and 4,089.36 is: 5,643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.72 : 10,276.02 = 4,089.36 : x
  2. Step 2: Convert to fraction form
    7,446.72/10,276.02 = 4,089.36/x
  3. Step 3: Cross multiply
    7,446.72x = 10,276.02 × 4,089.36
  4. Step 4: Simplify right side
    7,446.72x = 42,022,345.15
  5. Step 5: Solve for x
    x = 42,022,345.15/7,446.72
  6. Step 6: Final answer
    x = 5,643.07

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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.