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Finding the Fourth Proportional to 10,078.78, 13,914.93 and 6,495

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Solution

The fourth proportional to 10,078.78, 13,914.93 and 6,495 is: 8,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.78 : 13,914.93 = 6,495 : x
  2. Step 2: Convert to fraction form
    10,078.78/13,914.93 = 6,495/x
  3. Step 3: Cross multiply
    10,078.78x = 13,914.93 × 6,495
  4. Step 4: Simplify right side
    10,078.78x = 90,377,470.35
  5. Step 5: Solve for x
    x = 90,377,470.35/10,078.78
  6. Step 6: Final answer
    x = 8,967.10

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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.