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Finding the Fourth Proportional to 7,684.59, 11,530.32 and 3,733.68

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Solution

The fourth proportional to 7,684.59, 11,530.32 and 3,733.68 is: 5,602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.59 : 11,530.32 = 3,733.68 : x
  2. Step 2: Convert to fraction form
    7,684.59/11,530.32 = 3,733.68/x
  3. Step 3: Cross multiply
    7,684.59x = 11,530.32 × 3,733.68
  4. Step 4: Simplify right side
    7,684.59x = 43,050,525.18
  5. Step 5: Solve for x
    x = 43,050,525.18/7,684.59
  6. Step 6: Final answer
    x = 5,602.19

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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.