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Finding the Fourth Proportional to 7,291.40, 10,938.11 and 2,359.44

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Solution

The fourth proportional to 7,291.40, 10,938.11 and 2,359.44 is: 3,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.40 : 10,938.11 = 2,359.44 : x
  2. Step 2: Convert to fraction form
    7,291.40/10,938.11 = 2,359.44/x
  3. Step 3: Cross multiply
    7,291.40x = 10,938.11 × 2,359.44
  4. Step 4: Simplify right side
    7,291.40x = 25,807,802.46
  5. Step 5: Solve for x
    x = 25,807,802.46/7,291.40
  6. Step 6: Final answer
    x = 3,539.49

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Why These Related Problems?

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