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Finding the Fourth Proportional to 10,296.18, 14,204.01 and 6,047.17

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Solution

The fourth proportional to 10,296.18, 14,204.01 and 6,047.17 is: 8,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.18 : 14,204.01 = 6,047.17 : x
  2. Step 2: Convert to fraction form
    10,296.18/14,204.01 = 6,047.17/x
  3. Step 3: Cross multiply
    10,296.18x = 14,204.01 × 6,047.17
  4. Step 4: Simplify right side
    10,296.18x = 85,894,027.64
  5. Step 5: Solve for x
    x = 85,894,027.64/10,296.18
  6. Step 6: Final answer
    x = 8,342.32

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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.