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Finding the Fourth Proportional to 10,078.35, 13,894.50 and 8,503.71

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Solution

The fourth proportional to 10,078.35, 13,894.50 and 8,503.71 is: 11,723.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.35 : 13,894.50 = 8,503.71 : x
  2. Step 2: Convert to fraction form
    10,078.35/13,894.50 = 8,503.71/x
  3. Step 3: Cross multiply
    10,078.35x = 13,894.50 × 8,503.71
  4. Step 4: Simplify right side
    10,078.35x = 118,154,798.60
  5. Step 5: Solve for x
    x = 118,154,798.60/10,078.35
  6. Step 6: Final answer
    x = 11,723.63

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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.