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Finding the Fourth Proportional to 10,756.34, 14,842.90 and 6,039.72

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Solution

The fourth proportional to 10,756.34, 14,842.90 and 6,039.72 is: 8,334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.34 : 14,842.90 = 6,039.72 : x
  2. Step 2: Convert to fraction form
    10,756.34/14,842.90 = 6,039.72/x
  3. Step 3: Cross multiply
    10,756.34x = 14,842.90 × 6,039.72
  4. Step 4: Simplify right side
    10,756.34x = 89,646,959.99
  5. Step 5: Solve for x
    x = 89,646,959.99/10,756.34
  6. Step 6: Final answer
    x = 8,334.34

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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.