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Finding the Fourth Proportional to 10,333.52, 14,261.64 and 6,618.32

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Solution

The fourth proportional to 10,333.52, 14,261.64 and 6,618.32 is: 9,134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.52 : 14,261.64 = 6,618.32 : x
  2. Step 2: Convert to fraction form
    10,333.52/14,261.64 = 6,618.32/x
  3. Step 3: Cross multiply
    10,333.52x = 14,261.64 × 6,618.32
  4. Step 4: Simplify right side
    10,333.52x = 94,388,097.24
  5. Step 5: Solve for x
    x = 94,388,097.24/10,333.52
  6. Step 6: Final answer
    x = 9,134.17

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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.