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Finding the Fourth Proportional to 7,747.59, 10,688.72 and 4,762.47

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Solution

The fourth proportional to 7,747.59, 10,688.72 and 4,762.47 is: 6,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.59 : 10,688.72 = 4,762.47 : x
  2. Step 2: Convert to fraction form
    7,747.59/10,688.72 = 4,762.47/x
  3. Step 3: Cross multiply
    7,747.59x = 10,688.72 × 4,762.47
  4. Step 4: Simplify right side
    7,747.59x = 50,904,684.53
  5. Step 5: Solve for x
    x = 50,904,684.53/7,747.59
  6. Step 6: Final answer
    x = 6,570.39

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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.