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Finding the Fourth Proportional to 7,602.53, 11,403.76 and 2,055.85

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Solution

The fourth proportional to 7,602.53, 11,403.76 and 2,055.85 is: 3,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.53 : 11,403.76 = 2,055.85 : x
  2. Step 2: Convert to fraction form
    7,602.53/11,403.76 = 2,055.85/x
  3. Step 3: Cross multiply
    7,602.53x = 11,403.76 × 2,055.85
  4. Step 4: Simplify right side
    7,602.53x = 23,444,409.72
  5. Step 5: Solve for x
    x = 23,444,409.72/7,602.53
  6. Step 6: Final answer
    x = 3,083.77

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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.