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Finding the Fourth Proportional to 11,496.37, 15,866.46 and 7,019.17

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Solution

The fourth proportional to 11,496.37, 15,866.46 and 7,019.17 is: 9,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.37 : 15,866.46 = 7,019.17 : x
  2. Step 2: Convert to fraction form
    11,496.37/15,866.46 = 7,019.17/x
  3. Step 3: Cross multiply
    11,496.37x = 15,866.46 × 7,019.17
  4. Step 4: Simplify right side
    11,496.37x = 111,369,300.71
  5. Step 5: Solve for x
    x = 111,369,300.71/11,496.37
  6. Step 6: Final answer
    x = 9,687.34

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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.