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Finding the Fourth Proportional to 7,772.17, 10,729.19 and 4,584.39

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Solution

The fourth proportional to 7,772.17, 10,729.19 and 4,584.39 is: 6,328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.17 : 10,729.19 = 4,584.39 : x
  2. Step 2: Convert to fraction form
    7,772.17/10,729.19 = 4,584.39/x
  3. Step 3: Cross multiply
    7,772.17x = 10,729.19 × 4,584.39
  4. Step 4: Simplify right side
    7,772.17x = 49,186,802.81
  5. Step 5: Solve for x
    x = 49,186,802.81/7,772.17
  6. Step 6: Final answer
    x = 6,328.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.