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Finding the Fourth Proportional to 10,242.34, 14,134.62 and 6,050.59

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Solution

The fourth proportional to 10,242.34, 14,134.62 and 6,050.59 is: 8,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.34 : 14,134.62 = 6,050.59 : x
  2. Step 2: Convert to fraction form
    10,242.34/14,134.62 = 6,050.59/x
  3. Step 3: Cross multiply
    10,242.34x = 14,134.62 × 6,050.59
  4. Step 4: Simplify right side
    10,242.34x = 85,522,790.43
  5. Step 5: Solve for x
    x = 85,522,790.43/10,242.34
  6. Step 6: Final answer
    x = 8,349.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.