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Finding the Fourth Proportional to 10,789.66, 14,884.05 and 7,007.77

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Solution

The fourth proportional to 10,789.66, 14,884.05 and 7,007.77 is: 9,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789.66 : 14,884.05 = 7,007.77 : x
  2. Step 2: Convert to fraction form
    10,789.66/14,884.05 = 7,007.77/x
  3. Step 3: Cross multiply
    10,789.66x = 14,884.05 × 7,007.77
  4. Step 4: Simplify right side
    10,789.66x = 104,303,999.07
  5. Step 5: Solve for x
    x = 104,303,999.07/10,789.66
  6. Step 6: Final answer
    x = 9,667.03

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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.