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Finding the Fourth Proportional to 10,070.68, 13,892.70 and 7,828.60

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Solution

The fourth proportional to 10,070.68, 13,892.70 and 7,828.60 is: 10,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.68 : 13,892.70 = 7,828.60 : x
  2. Step 2: Convert to fraction form
    10,070.68/13,892.70 = 7,828.60/x
  3. Step 3: Cross multiply
    10,070.68x = 13,892.70 × 7,828.60
  4. Step 4: Simplify right side
    10,070.68x = 108,760,391.22
  5. Step 5: Solve for x
    x = 108,760,391.22/10,070.68
  6. Step 6: Final answer
    x = 10,799.71

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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.