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Finding the Fourth Proportional to 10,340.95, 15,501.80 and 3,765.64

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Solution

The fourth proportional to 10,340.95, 15,501.80 and 3,765.64 is: 5,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.95 : 15,501.80 = 3,765.64 : x
  2. Step 2: Convert to fraction form
    10,340.95/15,501.80 = 3,765.64/x
  3. Step 3: Cross multiply
    10,340.95x = 15,501.80 × 3,765.64
  4. Step 4: Simplify right side
    10,340.95x = 58,374,168.81
  5. Step 5: Solve for x
    x = 58,374,168.81/10,340.95
  6. Step 6: Final answer
    x = 5,644.95

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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.