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Finding the Fourth Proportional to 7,418.85, 10,238.15 and 4,586.16

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Solution

The fourth proportional to 7,418.85, 10,238.15 and 4,586.16 is: 6,328.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,418.85 : 10,238.15 = 4,586.16 : x
  2. Step 2: Convert to fraction form
    7,418.85/10,238.15 = 4,586.16/x
  3. Step 3: Cross multiply
    7,418.85x = 10,238.15 × 4,586.16
  4. Step 4: Simplify right side
    7,418.85x = 46,953,746.08
  5. Step 5: Solve for x
    x = 46,953,746.08/7,418.85
  6. Step 6: Final answer
    x = 6,328.98

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Why These Related Problems?

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