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Finding the Fourth Proportional to 10,100.60, 15,167.10 and 6,828.20

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Solution

The fourth proportional to 10,100.60, 15,167.10 and 6,828.20 is: 10,253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.60 : 15,167.10 = 6,828.20 : x
  2. Step 2: Convert to fraction form
    10,100.60/15,167.10 = 6,828.20/x
  3. Step 3: Cross multiply
    10,100.60x = 15,167.10 × 6,828.20
  4. Step 4: Simplify right side
    10,100.60x = 103,563,992.22
  5. Step 5: Solve for x
    x = 103,563,992.22/10,100.60
  6. Step 6: Final answer
    x = 10,253.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.