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Finding the Fourth Proportional to 10,496, 14,484.48 and 5,780.28

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Solution

The fourth proportional to 10,496, 14,484.48 and 5,780.28 is: 7,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496 : 14,484.48 = 5,780.28 : x
  2. Step 2: Convert to fraction form
    10,496/14,484.48 = 5,780.28/x
  3. Step 3: Cross multiply
    10,496x = 14,484.48 × 5,780.28
  4. Step 4: Simplify right side
    10,496x = 83,724,350.05
  5. Step 5: Solve for x
    x = 83,724,350.05/10,496
  6. Step 6: Final answer
    x = 7,976.79

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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.