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Finding the Fourth Proportional to 10,318.35, 14,239.35 and 5,602.62

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Solution

The fourth proportional to 10,318.35, 14,239.35 and 5,602.62 is: 7,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.35 : 14,239.35 = 5,602.62 : x
  2. Step 2: Convert to fraction form
    10,318.35/14,239.35 = 5,602.62/x
  3. Step 3: Cross multiply
    10,318.35x = 14,239.35 × 5,602.62
  4. Step 4: Simplify right side
    10,318.35x = 79,777,667.10
  5. Step 5: Solve for x
    x = 79,777,667.10/10,318.35
  6. Step 6: Final answer
    x = 7,731.63

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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.