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Finding the Fourth Proportional to 7,338.88, 11,006 and 2,407.37

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Solution

The fourth proportional to 7,338.88, 11,006 and 2,407.37 is: 3,610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.88 : 11,006 = 2,407.37 : x
  2. Step 2: Convert to fraction form
    7,338.88/11,006 = 2,407.37/x
  3. Step 3: Cross multiply
    7,338.88x = 11,006 × 2,407.37
  4. Step 4: Simplify right side
    7,338.88x = 26,495,459.19
  5. Step 5: Solve for x
    x = 26,495,459.19/7,338.88
  6. Step 6: Final answer
    x = 3,610.29

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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.