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Finding the Fourth Proportional to 11,875.66, 16,388.66 and 6,570.83

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Solution

The fourth proportional to 11,875.66, 16,388.66 and 6,570.83 is: 9,067.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.66 : 16,388.66 = 6,570.83 : x
  2. Step 2: Convert to fraction form
    11,875.66/16,388.66 = 6,570.83/x
  3. Step 3: Cross multiply
    11,875.66x = 16,388.66 × 6,570.83
  4. Step 4: Simplify right side
    11,875.66x = 107,687,156.19
  5. Step 5: Solve for x
    x = 107,687,156.19/11,875.66
  6. Step 6: Final answer
    x = 9,067.89

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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.