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Finding the Fourth Proportional to 10,064.08, 15,096.93 and 3,827.08

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Solution

The fourth proportional to 10,064.08, 15,096.93 and 3,827.08 is: 5,740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.08 : 15,096.93 = 3,827.08 : x
  2. Step 2: Convert to fraction form
    10,064.08/15,096.93 = 3,827.08/x
  3. Step 3: Cross multiply
    10,064.08x = 15,096.93 × 3,827.08
  4. Step 4: Simplify right side
    10,064.08x = 57,777,158.86
  5. Step 5: Solve for x
    x = 57,777,158.86/10,064.08
  6. Step 6: Final answer
    x = 5,740.93

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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.