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Finding the Fourth Proportional to 10,609.36, 14,631.13 and 7,211.46

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Solution

The fourth proportional to 10,609.36, 14,631.13 and 7,211.46 is: 9,945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.36 : 14,631.13 = 7,211.46 : x
  2. Step 2: Convert to fraction form
    10,609.36/14,631.13 = 7,211.46/x
  3. Step 3: Cross multiply
    10,609.36x = 14,631.13 × 7,211.46
  4. Step 4: Simplify right side
    10,609.36x = 105,511,808.75
  5. Step 5: Solve for x
    x = 105,511,808.75/10,609.36
  6. Step 6: Final answer
    x = 9,945.16

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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.