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Finding the Fourth Proportional to 8,574.40, 12,860.52 and 3,643.12

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Solution

The fourth proportional to 8,574.40, 12,860.52 and 3,643.12 is: 5,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.40 : 12,860.52 = 3,643.12 : x
  2. Step 2: Convert to fraction form
    8,574.40/12,860.52 = 3,643.12/x
  3. Step 3: Cross multiply
    8,574.40x = 12,860.52 × 3,643.12
  4. Step 4: Simplify right side
    8,574.40x = 46,852,417.62
  5. Step 5: Solve for x
    x = 46,852,417.62/8,574.40
  6. Step 6: Final answer
    x = 5,464.22

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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.