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Finding the Fourth Proportional to 10,989.81, 15,145.38 and 7,840.53

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Solution

The fourth proportional to 10,989.81, 15,145.38 and 7,840.53 is: 10,805.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989.81 : 15,145.38 = 7,840.53 : x
  2. Step 2: Convert to fraction form
    10,989.81/15,145.38 = 7,840.53/x
  3. Step 3: Cross multiply
    10,989.81x = 15,145.38 × 7,840.53
  4. Step 4: Simplify right side
    10,989.81x = 118,747,806.25
  5. Step 5: Solve for x
    x = 118,747,806.25/10,989.81
  6. Step 6: Final answer
    x = 10,805.26

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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.