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Finding the Fourth Proportional to 10,985.74, 15,162.68 and 7,162.16

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Solution

The fourth proportional to 10,985.74, 15,162.68 and 7,162.16 is: 9,885.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.74 : 15,162.68 = 7,162.16 : x
  2. Step 2: Convert to fraction form
    10,985.74/15,162.68 = 7,162.16/x
  3. Step 3: Cross multiply
    10,985.74x = 15,162.68 × 7,162.16
  4. Step 4: Simplify right side
    10,985.74x = 108,597,441.99
  5. Step 5: Solve for x
    x = 108,597,441.99/10,985.74
  6. Step 6: Final answer
    x = 9,885.31

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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.