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Finding the Fourth Proportional to 10,157.84, 15,226.76 and 4,891.36

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Solution

The fourth proportional to 10,157.84, 15,226.76 and 4,891.36 is: 7,332.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.84 : 15,226.76 = 4,891.36 : x
  2. Step 2: Convert to fraction form
    10,157.84/15,226.76 = 4,891.36/x
  3. Step 3: Cross multiply
    10,157.84x = 15,226.76 × 4,891.36
  4. Step 4: Simplify right side
    10,157.84x = 74,479,564.79
  5. Step 5: Solve for x
    x = 74,479,564.79/10,157.84
  6. Step 6: Final answer
    x = 7,332.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.