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Finding the Fourth Proportional to 10,099, 15,144.06 and 5,417.62

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Solution

The fourth proportional to 10,099, 15,144.06 and 5,417.62 is: 8,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099 : 15,144.06 = 5,417.62 : x
  2. Step 2: Convert to fraction form
    10,099/15,144.06 = 5,417.62/x
  3. Step 3: Cross multiply
    10,099x = 15,144.06 × 5,417.62
  4. Step 4: Simplify right side
    10,099x = 82,044,762.34
  5. Step 5: Solve for x
    x = 82,044,762.34/10,099
  6. Step 6: Final answer
    x = 8,124.05

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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.