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Finding the Fourth Proportional to 7,898.94, 11,797.20 and 7,157.07

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Solution

The fourth proportional to 7,898.94, 11,797.20 and 7,157.07 is: 10,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.94 : 11,797.20 = 7,157.07 : x
  2. Step 2: Convert to fraction form
    7,898.94/11,797.20 = 7,157.07/x
  3. Step 3: Cross multiply
    7,898.94x = 11,797.20 × 7,157.07
  4. Step 4: Simplify right side
    7,898.94x = 84,433,386.20
  5. Step 5: Solve for x
    x = 84,433,386.20/7,898.94
  6. Step 6: Final answer
    x = 10,689.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.