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Finding the Fourth Proportional to 11,643.52, 17,465.10 and 2,878.43

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Solution

The fourth proportional to 11,643.52, 17,465.10 and 2,878.43 is: 4,317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.52 : 17,465.10 = 2,878.43 : x
  2. Step 2: Convert to fraction form
    11,643.52/17,465.10 = 2,878.43/x
  3. Step 3: Cross multiply
    11,643.52x = 17,465.10 × 2,878.43
  4. Step 4: Simplify right side
    11,643.52x = 50,272,056.76
  5. Step 5: Solve for x
    x = 50,272,056.76/11,643.52
  6. Step 6: Final answer
    x = 4,317.60

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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.