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Finding the Fourth Proportional to 10,529.49, 14,524.61 and 6,803.49

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Solution

The fourth proportional to 10,529.49, 14,524.61 and 6,803.49 is: 9,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.49 : 14,524.61 = 6,803.49 : x
  2. Step 2: Convert to fraction form
    10,529.49/14,524.61 = 6,803.49/x
  3. Step 3: Cross multiply
    10,529.49x = 14,524.61 × 6,803.49
  4. Step 4: Simplify right side
    10,529.49x = 98,818,004.87
  5. Step 5: Solve for x
    x = 98,818,004.87/10,529.49
  6. Step 6: Final answer
    x = 9,384.88

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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.