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Finding the Fourth Proportional to 10,194.62, 15,294.22 and 4,646.45

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Solution

The fourth proportional to 10,194.62, 15,294.22 and 4,646.45 is: 6,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.62 : 15,294.22 = 4,646.45 : x
  2. Step 2: Convert to fraction form
    10,194.62/15,294.22 = 4,646.45/x
  3. Step 3: Cross multiply
    10,194.62x = 15,294.22 × 4,646.45
  4. Step 4: Simplify right side
    10,194.62x = 71,063,855.14
  5. Step 5: Solve for x
    x = 71,063,855.14/10,194.62
  6. Step 6: Final answer
    x = 6,970.72

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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.