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Finding the Fourth Proportional to 8,465.40, 12,699.57 and 3,538.49

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Solution

The fourth proportional to 8,465.40, 12,699.57 and 3,538.49 is: 5,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.40 : 12,699.57 = 3,538.49 : x
  2. Step 2: Convert to fraction form
    8,465.40/12,699.57 = 3,538.49/x
  3. Step 3: Cross multiply
    8,465.40x = 12,699.57 × 3,538.49
  4. Step 4: Simplify right side
    8,465.40x = 44,937,237.95
  5. Step 5: Solve for x
    x = 44,937,237.95/8,465.40
  6. Step 6: Final answer
    x = 5,308.34

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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.