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Finding the Fourth Proportional to 11,561.92, 15,955.10 and 6,526.08

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Solution

The fourth proportional to 11,561.92, 15,955.10 and 6,526.08 is: 9,005.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.92 : 15,955.10 = 6,526.08 : x
  2. Step 2: Convert to fraction form
    11,561.92/15,955.10 = 6,526.08/x
  3. Step 3: Cross multiply
    11,561.92x = 15,955.10 × 6,526.08
  4. Step 4: Simplify right side
    11,561.92x = 104,124,259.01
  5. Step 5: Solve for x
    x = 104,124,259.01/11,561.92
  6. Step 6: Final answer
    x = 9,005.79

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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.