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Finding the Fourth Proportional to 10,063.62, 15,097.05 and 3,136.50

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Solution

The fourth proportional to 10,063.62, 15,097.05 and 3,136.50 is: 4,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,063.62 : 15,097.05 = 3,136.50 : x
  2. Step 2: Convert to fraction form
    10,063.62/15,097.05 = 3,136.50/x
  3. Step 3: Cross multiply
    10,063.62x = 15,097.05 × 3,136.50
  4. Step 4: Simplify right side
    10,063.62x = 47,351,897.33
  5. Step 5: Solve for x
    x = 47,351,897.33/10,063.62
  6. Step 6: Final answer
    x = 4,705.25

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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.