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Finding the Fourth Proportional to 10,497.49, 14,486.50 and 5,717.36

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Solution

The fourth proportional to 10,497.49, 14,486.50 and 5,717.36 is: 7,889.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.49 : 14,486.50 = 5,717.36 : x
  2. Step 2: Convert to fraction form
    10,497.49/14,486.50 = 5,717.36/x
  3. Step 3: Cross multiply
    10,497.49x = 14,486.50 × 5,717.36
  4. Step 4: Simplify right side
    10,497.49x = 82,824,535.64
  5. Step 5: Solve for x
    x = 82,824,535.64/10,497.49
  6. Step 6: Final answer
    x = 7,889.94

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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.