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Finding the Fourth Proportional to 10,899.68, 16,346.04 and 4,323.92

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Solution

The fourth proportional to 10,899.68, 16,346.04 and 4,323.92 is: 6,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,899.68 : 16,346.04 = 4,323.92 : x
  2. Step 2: Convert to fraction form
    10,899.68/16,346.04 = 4,323.92/x
  3. Step 3: Cross multiply
    10,899.68x = 16,346.04 × 4,323.92
  4. Step 4: Simplify right side
    10,899.68x = 70,678,969.28
  5. Step 5: Solve for x
    x = 70,678,969.28/10,899.68
  6. Step 6: Final answer
    x = 6,484.50

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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.