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Finding the Fourth Proportional to 7,557.50, 11,341.14 and 2,940.50

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Solution

The fourth proportional to 7,557.50, 11,341.14 and 2,940.50 is: 4,412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,557.50 : 11,341.14 = 2,940.50 : x
  2. Step 2: Convert to fraction form
    7,557.50/11,341.14 = 2,940.50/x
  3. Step 3: Cross multiply
    7,557.50x = 11,341.14 × 2,940.50
  4. Step 4: Simplify right side
    7,557.50x = 33,348,622.17
  5. Step 5: Solve for x
    x = 33,348,622.17/7,557.50
  6. Step 6: Final answer
    x = 4,412.65

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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.