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Finding the Fourth Proportional to 8,320.34, 12,479.69 and 2,477.00

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Solution

The fourth proportional to 8,320.34, 12,479.69 and 2,477.00 is: 3,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320.34 : 12,479.69 = 2,477.00 : x
  2. Step 2: Convert to fraction form
    8,320.34/12,479.69 = 2,477.00/x
  3. Step 3: Cross multiply
    8,320.34x = 12,479.69 × 2,477.00
  4. Step 4: Simplify right side
    8,320.34x = 30,912,117.35
  5. Step 5: Solve for x
    x = 30,912,117.35/8,320.34
  6. Step 6: Final answer
    x = 3,715.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.