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Finding the Fourth Proportional to 7,587.98, 10,470.64 and 4,230.47

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Solution

The fourth proportional to 7,587.98, 10,470.64 and 4,230.47 is: 5,837.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.98 : 10,470.64 = 4,230.47 : x
  2. Step 2: Convert to fraction form
    7,587.98/10,470.64 = 4,230.47/x
  3. Step 3: Cross multiply
    7,587.98x = 10,470.64 × 4,230.47
  4. Step 4: Simplify right side
    7,587.98x = 44,295,759.87
  5. Step 5: Solve for x
    x = 44,295,759.87/7,587.98
  6. Step 6: Final answer
    x = 5,837.63

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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.