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Finding the Fourth Proportional to 10,070.78, 13,894.47 and 6,091.65

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Solution

The fourth proportional to 10,070.78, 13,894.47 and 6,091.65 is: 8,404.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.78 : 13,894.47 = 6,091.65 : x
  2. Step 2: Convert to fraction form
    10,070.78/13,894.47 = 6,091.65/x
  3. Step 3: Cross multiply
    10,070.78x = 13,894.47 × 6,091.65
  4. Step 4: Simplify right side
    10,070.78x = 84,640,248.18
  5. Step 5: Solve for x
    x = 84,640,248.18/10,070.78
  6. Step 6: Final answer
    x = 8,404.54

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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.