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Finding the Fourth Proportional to 11,534.66, 15,914.54 and 6,497.12

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Solution

The fourth proportional to 11,534.66, 15,914.54 and 6,497.12 is: 8,964.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.66 : 15,914.54 = 6,497.12 : x
  2. Step 2: Convert to fraction form
    11,534.66/15,914.54 = 6,497.12/x
  3. Step 3: Cross multiply
    11,534.66x = 15,914.54 × 6,497.12
  4. Step 4: Simplify right side
    11,534.66x = 103,398,564.07
  5. Step 5: Solve for x
    x = 103,398,564.07/11,534.66
  6. Step 6: Final answer
    x = 8,964.17

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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.