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Finding the Fourth Proportional to 11,555.46, 15,945.57 and 6,838.92

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Solution

The fourth proportional to 11,555.46, 15,945.57 and 6,838.92 is: 9,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,555.46 : 15,945.57 = 6,838.92 : x
  2. Step 2: Convert to fraction form
    11,555.46/15,945.57 = 6,838.92/x
  3. Step 3: Cross multiply
    11,555.46x = 15,945.57 × 6,838.92
  4. Step 4: Simplify right side
    11,555.46x = 109,050,477.58
  5. Step 5: Solve for x
    x = 109,050,477.58/11,555.46
  6. Step 6: Final answer
    x = 9,437.14

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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.