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Finding the Fourth Proportional to 7,385.76, 11,070 and 2,997.36

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Solution

The fourth proportional to 7,385.76, 11,070 and 2,997.36 is: 4,492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385.76 : 11,070 = 2,997.36 : x
  2. Step 2: Convert to fraction form
    7,385.76/11,070 = 2,997.36/x
  3. Step 3: Cross multiply
    7,385.76x = 11,070 × 2,997.36
  4. Step 4: Simplify right side
    7,385.76x = 33,180,775.20
  5. Step 5: Solve for x
    x = 33,180,775.20/7,385.76
  6. Step 6: Final answer
    x = 4,492.53

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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.