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Finding the Fourth Proportional to 11,807.83, 16,289.66 and 7,089.38

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Solution

The fourth proportional to 11,807.83, 16,289.66 and 7,089.38 is: 9,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.83 : 16,289.66 = 7,089.38 : x
  2. Step 2: Convert to fraction form
    11,807.83/16,289.66 = 7,089.38/x
  3. Step 3: Cross multiply
    11,807.83x = 16,289.66 × 7,089.38
  4. Step 4: Simplify right side
    11,807.83x = 115,483,526.09
  5. Step 5: Solve for x
    x = 115,483,526.09/11,807.83
  6. Step 6: Final answer
    x = 9,780.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.