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Finding the Fourth Proportional to 10,107.37, 15,159.03 and 3,534.22

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Solution

The fourth proportional to 10,107.37, 15,159.03 and 3,534.22 is: 5,300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.37 : 15,159.03 = 3,534.22 : x
  2. Step 2: Convert to fraction form
    10,107.37/15,159.03 = 3,534.22/x
  3. Step 3: Cross multiply
    10,107.37x = 15,159.03 × 3,534.22
  4. Step 4: Simplify right side
    10,107.37x = 53,575,347.01
  5. Step 5: Solve for x
    x = 53,575,347.01/10,107.37
  6. Step 6: Final answer
    x = 5,300.62

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