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Finding the Fourth Proportional to 7,734.69, 11,597.18 and 2,804.22

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Solution

The fourth proportional to 7,734.69, 11,597.18 and 2,804.22 is: 4,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.69 : 11,597.18 = 2,804.22 : x
  2. Step 2: Convert to fraction form
    7,734.69/11,597.18 = 2,804.22/x
  3. Step 3: Cross multiply
    7,734.69x = 11,597.18 × 2,804.22
  4. Step 4: Simplify right side
    7,734.69x = 32,521,030.08
  5. Step 5: Solve for x
    x = 32,521,030.08/7,734.69
  6. Step 6: Final answer
    x = 4,204.57

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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.