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Finding the Fourth Proportional to 6,902.59, 10,353.66 and 4,110.57

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Solution

The fourth proportional to 6,902.59, 10,353.66 and 4,110.57 is: 6,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.59 : 10,353.66 = 4,110.57 : x
  2. Step 2: Convert to fraction form
    6,902.59/10,353.66 = 4,110.57/x
  3. Step 3: Cross multiply
    6,902.59x = 10,353.66 × 4,110.57
  4. Step 4: Simplify right side
    6,902.59x = 42,559,444.19
  5. Step 5: Solve for x
    x = 42,559,444.19/6,902.59
  6. Step 6: Final answer
    x = 6,165.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.