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Finding the Fourth Proportional to 6,902.58, 10,353.82 and 4,130.02

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Solution

The fourth proportional to 6,902.58, 10,353.82 and 4,130.02 is: 6,195.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.58 : 10,353.82 = 4,130.02 : x
  2. Step 2: Convert to fraction form
    6,902.58/10,353.82 = 4,130.02/x
  3. Step 3: Cross multiply
    6,902.58x = 10,353.82 × 4,130.02
  4. Step 4: Simplify right side
    6,902.58x = 42,761,483.68
  5. Step 5: Solve for x
    x = 42,761,483.68/6,902.58
  6. Step 6: Final answer
    x = 6,195.00

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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.