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Finding the Fourth Proportional to 10,178.84, 15,284.46 and 6,899.96

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Solution

The fourth proportional to 10,178.84, 15,284.46 and 6,899.96 is: 10,360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.84 : 15,284.46 = 6,899.96 : x
  2. Step 2: Convert to fraction form
    10,178.84/15,284.46 = 6,899.96/x
  3. Step 3: Cross multiply
    10,178.84x = 15,284.46 × 6,899.96
  4. Step 4: Simplify right side
    10,178.84x = 105,462,162.62
  5. Step 5: Solve for x
    x = 105,462,162.62/10,178.84
  6. Step 6: Final answer
    x = 10,360.92

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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.