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Finding the Fourth Proportional to 10,817.40, 14,928.78 and 6,102.12

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Solution

The fourth proportional to 10,817.40, 14,928.78 and 6,102.12 is: 8,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.40 : 14,928.78 = 6,102.12 : x
  2. Step 2: Convert to fraction form
    10,817.40/14,928.78 = 6,102.12/x
  3. Step 3: Cross multiply
    10,817.40x = 14,928.78 × 6,102.12
  4. Step 4: Simplify right side
    10,817.40x = 91,097,207.01
  5. Step 5: Solve for x
    x = 91,097,207.01/10,817.40
  6. Step 6: Final answer
    x = 8,421.36

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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.