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Finding the Fourth Proportional to 7,488.57, 10,334.24 and 4,085.61

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Solution

The fourth proportional to 7,488.57, 10,334.24 and 4,085.61 is: 5,638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,488.57 : 10,334.24 = 4,085.61 : x
  2. Step 2: Convert to fraction form
    7,488.57/10,334.24 = 4,085.61/x
  3. Step 3: Cross multiply
    7,488.57x = 10,334.24 × 4,085.61
  4. Step 4: Simplify right side
    7,488.57x = 42,221,653.86
  5. Step 5: Solve for x
    x = 42,221,653.86/7,488.57
  6. Step 6: Final answer
    x = 5,638.15

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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.