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Finding the Fourth Proportional to 11,559.20, 15,953.64 and 6,846.08

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Solution

The fourth proportional to 11,559.20, 15,953.64 and 6,846.08 is: 9,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.20 : 15,953.64 = 6,846.08 : x
  2. Step 2: Convert to fraction form
    11,559.20/15,953.64 = 6,846.08/x
  3. Step 3: Cross multiply
    11,559.20x = 15,953.64 × 6,846.08
  4. Step 4: Simplify right side
    11,559.20x = 109,219,895.73
  5. Step 5: Solve for x
    x = 109,219,895.73/11,559.20
  6. Step 6: Final answer
    x = 9,448.74

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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.