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Finding the Fourth Proportional to 7,587.42, 10,470.11 and 4,230.09

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Solution

The fourth proportional to 7,587.42, 10,470.11 and 4,230.09 is: 5,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.42 : 10,470.11 = 4,230.09 : x
  2. Step 2: Convert to fraction form
    7,587.42/10,470.11 = 4,230.09/x
  3. Step 3: Cross multiply
    7,587.42x = 10,470.11 × 4,230.09
  4. Step 4: Simplify right side
    7,587.42x = 44,289,486.46
  5. Step 5: Solve for x
    x = 44,289,486.46/7,587.42
  6. Step 6: Final answer
    x = 5,837.23

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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.