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Finding the Fourth Proportional to 10,142.65, 15,214.01 and 3,122.62

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Solution

The fourth proportional to 10,142.65, 15,214.01 and 3,122.62 is: 4,683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.65 : 15,214.01 = 3,122.62 : x
  2. Step 2: Convert to fraction form
    10,142.65/15,214.01 = 3,122.62/x
  3. Step 3: Cross multiply
    10,142.65x = 15,214.01 × 3,122.62
  4. Step 4: Simplify right side
    10,142.65x = 47,507,518.26
  5. Step 5: Solve for x
    x = 47,507,518.26/10,142.65
  6. Step 6: Final answer
    x = 4,683.94

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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.