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Finding the Fourth Proportional to 11,360.16, 15,679.44 and 7,632

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Solution

The fourth proportional to 11,360.16, 15,679.44 and 7,632 is: 10,533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,360.16 : 15,679.44 = 7,632 : x
  2. Step 2: Convert to fraction form
    11,360.16/15,679.44 = 7,632/x
  3. Step 3: Cross multiply
    11,360.16x = 15,679.44 × 7,632
  4. Step 4: Simplify right side
    11,360.16x = 119,665,486.08
  5. Step 5: Solve for x
    x = 119,665,486.08/11,360.16
  6. Step 6: Final answer
    x = 10,533.79

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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.