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Finding the Fourth Proportional to 7,340, 11,010.40 and 2,956.89

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Solution

The fourth proportional to 7,340, 11,010.40 and 2,956.89 is: 4,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340 : 11,010.40 = 2,956.89 : x
  2. Step 2: Convert to fraction form
    7,340/11,010.40 = 2,956.89/x
  3. Step 3: Cross multiply
    7,340x = 11,010.40 × 2,956.89
  4. Step 4: Simplify right side
    7,340x = 32,556,541.66
  5. Step 5: Solve for x
    x = 32,556,541.66/7,340
  6. Step 6: Final answer
    x = 4,435.50

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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.