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Finding the Fourth Proportional to 10,803, 14,908.14 and 5,835

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Solution

The fourth proportional to 10,803, 14,908.14 and 5,835 is: 8,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803 : 14,908.14 = 5,835 : x
  2. Step 2: Convert to fraction form
    10,803/14,908.14 = 5,835/x
  3. Step 3: Cross multiply
    10,803x = 14,908.14 × 5,835
  4. Step 4: Simplify right side
    10,803x = 86,988,996.90
  5. Step 5: Solve for x
    x = 86,988,996.90/10,803
  6. Step 6: Final answer
    x = 8,052.30

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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.