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Finding the Fourth Proportional to 10,263.34, 15,404.73 and 5,072.86

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Solution

The fourth proportional to 10,263.34, 15,404.73 and 5,072.86 is: 7,614.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.34 : 15,404.73 = 5,072.86 : x
  2. Step 2: Convert to fraction form
    10,263.34/15,404.73 = 5,072.86/x
  3. Step 3: Cross multiply
    10,263.34x = 15,404.73 × 5,072.86
  4. Step 4: Simplify right side
    10,263.34x = 78,146,038.63
  5. Step 5: Solve for x
    x = 78,146,038.63/10,263.34
  6. Step 6: Final answer
    x = 7,614.09

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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.