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Finding the Fourth Proportional to 10,556.64, 14,561.82 and 6,971.65

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Solution

The fourth proportional to 10,556.64, 14,561.82 and 6,971.65 is: 9,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.64 : 14,561.82 = 6,971.65 : x
  2. Step 2: Convert to fraction form
    10,556.64/14,561.82 = 6,971.65/x
  3. Step 3: Cross multiply
    10,556.64x = 14,561.82 × 6,971.65
  4. Step 4: Simplify right side
    10,556.64x = 101,519,876.00
  5. Step 5: Solve for x
    x = 101,519,876.00/10,556.64
  6. Step 6: Final answer
    x = 9,616.68

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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.