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Finding the Fourth Proportional to 10,792.93, 14,894.54 and 6,077.38

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Solution

The fourth proportional to 10,792.93, 14,894.54 and 6,077.38 is: 8,386.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.93 : 14,894.54 = 6,077.38 : x
  2. Step 2: Convert to fraction form
    10,792.93/14,894.54 = 6,077.38/x
  3. Step 3: Cross multiply
    10,792.93x = 14,894.54 × 6,077.38
  4. Step 4: Simplify right side
    10,792.93x = 90,519,749.12
  5. Step 5: Solve for x
    x = 90,519,749.12/10,792.93
  6. Step 6: Final answer
    x = 8,386.95

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Why These Related Problems?

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