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Finding the Fourth Proportional to 10,665.41, 16,000.64 and 4,822.01

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Solution

The fourth proportional to 10,665.41, 16,000.64 and 4,822.01 is: 7,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.41 : 16,000.64 = 4,822.01 : x
  2. Step 2: Convert to fraction form
    10,665.41/16,000.64 = 4,822.01/x
  3. Step 3: Cross multiply
    10,665.41x = 16,000.64 × 4,822.01
  4. Step 4: Simplify right side
    10,665.41x = 77,155,246.09
  5. Step 5: Solve for x
    x = 77,155,246.09/10,665.41
  6. Step 6: Final answer
    x = 7,234.16

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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.