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Finding the Fourth Proportional to 8,465.40, 12,697.56 and 3,785.76

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Solution

The fourth proportional to 8,465.40, 12,697.56 and 3,785.76 is: 5,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.40 : 12,697.56 = 3,785.76 : x
  2. Step 2: Convert to fraction form
    8,465.40/12,697.56 = 3,785.76/x
  3. Step 3: Cross multiply
    8,465.40x = 12,697.56 × 3,785.76
  4. Step 4: Simplify right side
    8,465.40x = 48,069,914.75
  5. Step 5: Solve for x
    x = 48,069,914.75/8,465.40
  6. Step 6: Final answer
    x = 5,678.40

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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.