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Finding the Fourth Proportional to 7,804.52, 11,707.50 and 2,611.16

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Solution

The fourth proportional to 7,804.52, 11,707.50 and 2,611.16 is: 3,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.52 : 11,707.50 = 2,611.16 : x
  2. Step 2: Convert to fraction form
    7,804.52/11,707.50 = 2,611.16/x
  3. Step 3: Cross multiply
    7,804.52x = 11,707.50 × 2,611.16
  4. Step 4: Simplify right side
    7,804.52x = 30,570,155.70
  5. Step 5: Solve for x
    x = 30,570,155.70/7,804.52
  6. Step 6: Final answer
    x = 3,916.98

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Why These Related Problems?

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