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Finding the Fourth Proportional to 11,312.56, 15,611.42 and 6,277.11

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Solution

The fourth proportional to 11,312.56, 15,611.42 and 6,277.11 is: 8,662.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.56 : 15,611.42 = 6,277.11 : x
  2. Step 2: Convert to fraction form
    11,312.56/15,611.42 = 6,277.11/x
  3. Step 3: Cross multiply
    11,312.56x = 15,611.42 × 6,277.11
  4. Step 4: Simplify right side
    11,312.56x = 97,994,600.60
  5. Step 5: Solve for x
    x = 97,994,600.60/11,312.56
  6. Step 6: Final answer
    x = 8,662.46

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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.