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Finding the Fourth Proportional to 10,102.66, 13,927.21 and 7,109.19

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Solution

The fourth proportional to 10,102.66, 13,927.21 and 7,109.19 is: 9,800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.66 : 13,927.21 = 7,109.19 : x
  2. Step 2: Convert to fraction form
    10,102.66/13,927.21 = 7,109.19/x
  3. Step 3: Cross multiply
    10,102.66x = 13,927.21 × 7,109.19
  4. Step 4: Simplify right side
    10,102.66x = 99,011,164.29
  5. Step 5: Solve for x
    x = 99,011,164.29/10,102.66
  6. Step 6: Final answer
    x = 9,800.51

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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.