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Finding the Fourth Proportional to 8,497.31, 11,736.10 and 5,660.01

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Solution

The fourth proportional to 8,497.31, 11,736.10 and 5,660.01 is: 7,817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.31 : 11,736.10 = 5,660.01 : x
  2. Step 2: Convert to fraction form
    8,497.31/11,736.10 = 5,660.01/x
  3. Step 3: Cross multiply
    8,497.31x = 11,736.10 × 5,660.01
  4. Step 4: Simplify right side
    8,497.31x = 66,426,443.36
  5. Step 5: Solve for x
    x = 66,426,443.36/8,497.31
  6. Step 6: Final answer
    x = 7,817.35

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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.