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Finding the Fourth Proportional to 11,900.47, 16,421.86 and 6,864.90

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Solution

The fourth proportional to 11,900.47, 16,421.86 and 6,864.90 is: 9,473.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.47 : 16,421.86 = 6,864.90 : x
  2. Step 2: Convert to fraction form
    11,900.47/16,421.86 = 6,864.90/x
  3. Step 3: Cross multiply
    11,900.47x = 16,421.86 × 6,864.90
  4. Step 4: Simplify right side
    11,900.47x = 112,734,485.39
  5. Step 5: Solve for x
    x = 112,734,485.39/11,900.47
  6. Step 6: Final answer
    x = 9,473.11

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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.