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Finding the Fourth Proportional to 7,345.59, 10,136.93 and 4,201.78

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Solution

The fourth proportional to 7,345.59, 10,136.93 and 4,201.78 is: 5,798.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.59 : 10,136.93 = 4,201.78 : x
  2. Step 2: Convert to fraction form
    7,345.59/10,136.93 = 4,201.78/x
  3. Step 3: Cross multiply
    7,345.59x = 10,136.93 × 4,201.78
  4. Step 4: Simplify right side
    7,345.59x = 42,593,149.74
  5. Step 5: Solve for x
    x = 42,593,149.74/7,345.59
  6. Step 6: Final answer
    x = 5,798.47

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