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Finding the Fourth Proportional to 10,135.58, 15,205 and 4,292.24

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Solution

The fourth proportional to 10,135.58, 15,205 and 4,292.24 is: 6,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.58 : 15,205 = 4,292.24 : x
  2. Step 2: Convert to fraction form
    10,135.58/15,205 = 4,292.24/x
  3. Step 3: Cross multiply
    10,135.58x = 15,205 × 4,292.24
  4. Step 4: Simplify right side
    10,135.58x = 65,263,509.20
  5. Step 5: Solve for x
    x = 65,263,509.20/10,135.58
  6. Step 6: Final answer
    x = 6,439.05

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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.