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Finding the Fourth Proportional to 10,164.75, 14,026.95 and 5,688.93

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Solution

The fourth proportional to 10,164.75, 14,026.95 and 5,688.93 is: 7,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.75 : 14,026.95 = 5,688.93 : x
  2. Step 2: Convert to fraction form
    10,164.75/14,026.95 = 5,688.93/x
  3. Step 3: Cross multiply
    10,164.75x = 14,026.95 × 5,688.93
  4. Step 4: Simplify right side
    10,164.75x = 79,798,336.66
  5. Step 5: Solve for x
    x = 79,798,336.66/10,164.75
  6. Step 6: Final answer
    x = 7,850.50

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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.