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Finding the Fourth Proportional to 10,085.16, 15,116.54 and 7,611.96

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Solution

The fourth proportional to 10,085.16, 15,116.54 and 7,611.96 is: 11,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.16 : 15,116.54 = 7,611.96 : x
  2. Step 2: Convert to fraction form
    10,085.16/15,116.54 = 7,611.96/x
  3. Step 3: Cross multiply
    10,085.16x = 15,116.54 × 7,611.96
  4. Step 4: Simplify right side
    10,085.16x = 115,066,459.76
  5. Step 5: Solve for x
    x = 115,066,459.76/10,085.16
  6. Step 6: Final answer
    x = 11,409.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.