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Finding the Fourth Proportional to 10,835.84, 14,953.32 and 5,867.84

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Solution

The fourth proportional to 10,835.84, 14,953.32 and 5,867.84 is: 8,097.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.84 : 14,953.32 = 5,867.84 : x
  2. Step 2: Convert to fraction form
    10,835.84/14,953.32 = 5,867.84/x
  3. Step 3: Cross multiply
    10,835.84x = 14,953.32 × 5,867.84
  4. Step 4: Simplify right side
    10,835.84x = 87,743,689.23
  5. Step 5: Solve for x
    x = 87,743,689.23/10,835.84
  6. Step 6: Final answer
    x = 8,097.54

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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.