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Finding the Fourth Proportional to 10,884.71, 15,016.32 and 7,252.34

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Solution

The fourth proportional to 10,884.71, 15,016.32 and 7,252.34 is: 10,005.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.71 : 15,016.32 = 7,252.34 : x
  2. Step 2: Convert to fraction form
    10,884.71/15,016.32 = 7,252.34/x
  3. Step 3: Cross multiply
    10,884.71x = 15,016.32 × 7,252.34
  4. Step 4: Simplify right side
    10,884.71x = 108,903,383.11
  5. Step 5: Solve for x
    x = 108,903,383.11/10,884.71
  6. Step 6: Final answer
    x = 10,005.17

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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.