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Finding the Fourth Proportional to 8,341.92, 12,453.12 and 7,758.72

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Solution

The fourth proportional to 8,341.92, 12,453.12 and 7,758.72 is: 11,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.92 : 12,453.12 = 7,758.72 : x
  2. Step 2: Convert to fraction form
    8,341.92/12,453.12 = 7,758.72/x
  3. Step 3: Cross multiply
    8,341.92x = 12,453.12 × 7,758.72
  4. Step 4: Simplify right side
    8,341.92x = 96,620,271.21
  5. Step 5: Solve for x
    x = 96,620,271.21/8,341.92
  6. Step 6: Final answer
    x = 11,582.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.