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Finding the Fourth Proportional to 10,435.48, 15,650.09 and 5,502.42

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Solution

The fourth proportional to 10,435.48, 15,650.09 and 5,502.42 is: 8,251.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.48 : 15,650.09 = 5,502.42 : x
  2. Step 2: Convert to fraction form
    10,435.48/15,650.09 = 5,502.42/x
  3. Step 3: Cross multiply
    10,435.48x = 15,650.09 × 5,502.42
  4. Step 4: Simplify right side
    10,435.48x = 86,113,368.22
  5. Step 5: Solve for x
    x = 86,113,368.22/10,435.48
  6. Step 6: Final answer
    x = 8,251.98

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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.