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Finding the Fourth Proportional to 7,340.30, 11,006.40 and 2,407.40

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Solution

The fourth proportional to 7,340.30, 11,006.40 and 2,407.40 is: 3,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.30 : 11,006.40 = 2,407.40 : x
  2. Step 2: Convert to fraction form
    7,340.30/11,006.40 = 2,407.40/x
  3. Step 3: Cross multiply
    7,340.30x = 11,006.40 × 2,407.40
  4. Step 4: Simplify right side
    7,340.30x = 26,496,807.36
  5. Step 5: Solve for x
    x = 26,496,807.36/7,340.30
  6. Step 6: Final answer
    x = 3,609.77

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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.