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Finding the Fourth Proportional to 7,341.40, 11,022.90 and 5,159.80

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Solution

The fourth proportional to 7,341.40, 11,022.90 and 5,159.80 is: 7,747.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,341.40 : 11,022.90 = 5,159.80 : x
  2. Step 2: Convert to fraction form
    7,341.40/11,022.90 = 5,159.80/x
  3. Step 3: Cross multiply
    7,341.40x = 11,022.90 × 5,159.80
  4. Step 4: Simplify right side
    7,341.40x = 56,875,959.42
  5. Step 5: Solve for x
    x = 56,875,959.42/7,341.40
  6. Step 6: Final answer
    x = 7,747.29

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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.