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Finding the Fourth Proportional to 7,773.42, 10,730.43 and 4,629

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Solution

The fourth proportional to 7,773.42, 10,730.43 and 4,629 is: 6,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.42 : 10,730.43 = 4,629 : x
  2. Step 2: Convert to fraction form
    7,773.42/10,730.43 = 4,629/x
  3. Step 3: Cross multiply
    7,773.42x = 10,730.43 × 4,629
  4. Step 4: Simplify right side
    7,773.42x = 49,671,160.47
  5. Step 5: Solve for x
    x = 49,671,160.47/7,773.42
  6. Step 6: Final answer
    x = 6,389.87

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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.