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Finding the Fourth Proportional to 10,435.98, 15,650.08 and 4,193.88

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Solution

The fourth proportional to 10,435.98, 15,650.08 and 4,193.88 is: 6,289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.98 : 15,650.08 = 4,193.88 : x
  2. Step 2: Convert to fraction form
    10,435.98/15,650.08 = 4,193.88/x
  3. Step 3: Cross multiply
    10,435.98x = 15,650.08 × 4,193.88
  4. Step 4: Simplify right side
    10,435.98x = 65,634,557.51
  5. Step 5: Solve for x
    x = 65,634,557.51/10,435.98
  6. Step 6: Final answer
    x = 6,289.26

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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.