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Finding the Fourth Proportional to 8,535.74, 12,804.70 and 3,340.94

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Solution

The fourth proportional to 8,535.74, 12,804.70 and 3,340.94 is: 5,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.74 : 12,804.70 = 3,340.94 : x
  2. Step 2: Convert to fraction form
    8,535.74/12,804.70 = 3,340.94/x
  3. Step 3: Cross multiply
    8,535.74x = 12,804.70 × 3,340.94
  4. Step 4: Simplify right side
    8,535.74x = 42,779,734.42
  5. Step 5: Solve for x
    x = 42,779,734.42/8,535.74
  6. Step 6: Final answer
    x = 5,011.84

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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.