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Finding the Fourth Proportional to 10,509.48, 15,759.36 and 6,128.22

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Solution

The fourth proportional to 10,509.48, 15,759.36 and 6,128.22 is: 9,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.48 : 15,759.36 = 6,128.22 : x
  2. Step 2: Convert to fraction form
    10,509.48/15,759.36 = 6,128.22/x
  3. Step 3: Cross multiply
    10,509.48x = 15,759.36 × 6,128.22
  4. Step 4: Simplify right side
    10,509.48x = 96,576,825.14
  5. Step 5: Solve for x
    x = 96,576,825.14/10,509.48
  6. Step 6: Final answer
    x = 9,189.50

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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.