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Finding the Fourth Proportional to 10,496.06, 15,710.07 and 7,722.14

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Solution

The fourth proportional to 10,496.06, 15,710.07 and 7,722.14 is: 11,558.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.06 : 15,710.07 = 7,722.14 : x
  2. Step 2: Convert to fraction form
    10,496.06/15,710.07 = 7,722.14/x
  3. Step 3: Cross multiply
    10,496.06x = 15,710.07 × 7,722.14
  4. Step 4: Simplify right side
    10,496.06x = 121,315,359.95
  5. Step 5: Solve for x
    x = 121,315,359.95/10,496.06
  6. Step 6: Final answer
    x = 11,558.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.