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Finding the Fourth Proportional to 7,537.86, 10,400.90 and 4,551.69

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Solution

The fourth proportional to 7,537.86, 10,400.90 and 4,551.69 is: 6,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.86 : 10,400.90 = 4,551.69 : x
  2. Step 2: Convert to fraction form
    7,537.86/10,400.90 = 4,551.69/x
  3. Step 3: Cross multiply
    7,537.86x = 10,400.90 × 4,551.69
  4. Step 4: Simplify right side
    7,537.86x = 47,341,675.37
  5. Step 5: Solve for x
    x = 47,341,675.37/7,537.86
  6. Step 6: Final answer
    x = 6,280.52

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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.