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Finding the Fourth Proportional to 10,444.15, 14,412.76 and 5,728.60

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Solution

The fourth proportional to 10,444.15, 14,412.76 and 5,728.60 is: 7,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.15 : 14,412.76 = 5,728.60 : x
  2. Step 2: Convert to fraction form
    10,444.15/14,412.76 = 5,728.60/x
  3. Step 3: Cross multiply
    10,444.15x = 14,412.76 × 5,728.60
  4. Step 4: Simplify right side
    10,444.15x = 82,564,936.94
  5. Step 5: Solve for x
    x = 82,564,936.94/10,444.15
  6. Step 6: Final answer
    x = 7,905.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.