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Finding the Fourth Proportional to 11,643.60, 16,068.36 and 6,338.52

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Solution

The fourth proportional to 11,643.60, 16,068.36 and 6,338.52 is: 8,747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.60 : 16,068.36 = 6,338.52 : x
  2. Step 2: Convert to fraction form
    11,643.60/16,068.36 = 6,338.52/x
  3. Step 3: Cross multiply
    11,643.60x = 16,068.36 × 6,338.52
  4. Step 4: Simplify right side
    11,643.60x = 101,849,621.23
  5. Step 5: Solve for x
    x = 101,849,621.23/11,643.60
  6. Step 6: Final answer
    x = 8,747.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.