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Finding the Fourth Proportional to 10,005.76, 14,997.84 and 4,943.44

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Solution

The fourth proportional to 10,005.76, 14,997.84 and 4,943.44 is: 7,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.76 : 14,997.84 = 4,943.44 : x
  2. Step 2: Convert to fraction form
    10,005.76/14,997.84 = 4,943.44/x
  3. Step 3: Cross multiply
    10,005.76x = 14,997.84 × 4,943.44
  4. Step 4: Simplify right side
    10,005.76x = 74,140,922.17
  5. Step 5: Solve for x
    x = 74,140,922.17/10,005.76
  6. Step 6: Final answer
    x = 7,409.82

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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.