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Finding the Fourth Proportional to 7,868.60, 10,852.96 and 5,346.30

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Solution

The fourth proportional to 7,868.60, 10,852.96 and 5,346.30 is: 7,374.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.60 : 10,852.96 = 5,346.30 : x
  2. Step 2: Convert to fraction form
    7,868.60/10,852.96 = 5,346.30/x
  3. Step 3: Cross multiply
    7,868.60x = 10,852.96 × 5,346.30
  4. Step 4: Simplify right side
    7,868.60x = 58,023,180.05
  5. Step 5: Solve for x
    x = 58,023,180.05/7,868.60
  6. Step 6: Final answer
    x = 7,374.02

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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.