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Finding the Fourth Proportional to 10,436.41, 15,655.33 and 4,196.42

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Solution

The fourth proportional to 10,436.41, 15,655.33 and 4,196.42 is: 6,294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.41 : 15,655.33 = 4,196.42 : x
  2. Step 2: Convert to fraction form
    10,436.41/15,655.33 = 4,196.42/x
  3. Step 3: Cross multiply
    10,436.41x = 15,655.33 × 4,196.42
  4. Step 4: Simplify right side
    10,436.41x = 65,696,339.92
  5. Step 5: Solve for x
    x = 65,696,339.92/10,436.41
  6. Step 6: Final answer
    x = 6,294.92

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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.