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Finding the Fourth Proportional to 10,201.08, 14,071.14 and 6,008.52

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Solution

The fourth proportional to 10,201.08, 14,071.14 and 6,008.52 is: 8,288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.08 : 14,071.14 = 6,008.52 : x
  2. Step 2: Convert to fraction form
    10,201.08/14,071.14 = 6,008.52/x
  3. Step 3: Cross multiply
    10,201.08x = 14,071.14 × 6,008.52
  4. Step 4: Simplify right side
    10,201.08x = 84,546,726.11
  5. Step 5: Solve for x
    x = 84,546,726.11/10,201.08
  6. Step 6: Final answer
    x = 8,288.02

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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.