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Finding the Fourth Proportional to 11,597.81, 16,004.90 and 6,561.51

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Solution

The fourth proportional to 11,597.81, 16,004.90 and 6,561.51 is: 9,054.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.81 : 16,004.90 = 6,561.51 : x
  2. Step 2: Convert to fraction form
    11,597.81/16,004.90 = 6,561.51/x
  3. Step 3: Cross multiply
    11,597.81x = 16,004.90 × 6,561.51
  4. Step 4: Simplify right side
    11,597.81x = 105,016,278.59
  5. Step 5: Solve for x
    x = 105,016,278.59/11,597.81
  6. Step 6: Final answer
    x = 9,054.84

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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.