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Finding the Fourth Proportional to 10,497.56, 14,486.46 and 5,782.28

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Solution

The fourth proportional to 10,497.56, 14,486.46 and 5,782.28 is: 7,979.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.56 : 14,486.46 = 5,782.28 : x
  2. Step 2: Convert to fraction form
    10,497.56/14,486.46 = 5,782.28/x
  3. Step 3: Cross multiply
    10,497.56x = 14,486.46 × 5,782.28
  4. Step 4: Simplify right side
    10,497.56x = 83,764,767.93
  5. Step 5: Solve for x
    x = 83,764,767.93/10,497.56
  6. Step 6: Final answer
    x = 7,979.45

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