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Finding the Fourth Proportional to 10,756.84, 14,842.57 and 5,976.02

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Solution

The fourth proportional to 10,756.84, 14,842.57 and 5,976.02 is: 8,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.84 : 14,842.57 = 5,976.02 : x
  2. Step 2: Convert to fraction form
    10,756.84/14,842.57 = 5,976.02/x
  3. Step 3: Cross multiply
    10,756.84x = 14,842.57 × 5,976.02
  4. Step 4: Simplify right side
    10,756.84x = 88,699,495.17
  5. Step 5: Solve for x
    x = 88,699,495.17/10,756.84
  6. Step 6: Final answer
    x = 8,245.87

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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.