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Finding the Fourth Proportional to 7,477.86, 10,319.21 and 4,291.68

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Solution

The fourth proportional to 7,477.86, 10,319.21 and 4,291.68 is: 5,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.86 : 10,319.21 = 4,291.68 : x
  2. Step 2: Convert to fraction form
    7,477.86/10,319.21 = 4,291.68/x
  3. Step 3: Cross multiply
    7,477.86x = 10,319.21 × 4,291.68
  4. Step 4: Simplify right side
    7,477.86x = 44,286,725.71
  5. Step 5: Solve for x
    x = 44,286,725.71/7,477.86
  6. Step 6: Final answer
    x = 5,922.38

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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.