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Finding the Fourth Proportional to 7,346.10, 11,010 and 2,961.15

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Solution

The fourth proportional to 7,346.10, 11,010 and 2,961.15 is: 4,438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.10 : 11,010 = 2,961.15 : x
  2. Step 2: Convert to fraction form
    7,346.10/11,010 = 2,961.15/x
  3. Step 3: Cross multiply
    7,346.10x = 11,010 × 2,961.15
  4. Step 4: Simplify right side
    7,346.10x = 32,602,261.50
  5. Step 5: Solve for x
    x = 32,602,261.50/7,346.10
  6. Step 6: Final answer
    x = 4,438.04

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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.