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Finding the Fourth Proportional to 8,803.81, 13,184.86 and 7,643.35

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Solution

The fourth proportional to 8,803.81, 13,184.86 and 7,643.35 is: 11,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,803.81 : 13,184.86 = 7,643.35 : x
  2. Step 2: Convert to fraction form
    8,803.81/13,184.86 = 7,643.35/x
  3. Step 3: Cross multiply
    8,803.81x = 13,184.86 × 7,643.35
  4. Step 4: Simplify right side
    8,803.81x = 100,776,511.38
  5. Step 5: Solve for x
    x = 100,776,511.38/8,803.81
  6. Step 6: Final answer
    x = 11,446.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.