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Finding the Fourth Proportional to 8,651, 12,975.28 and 4,941.20

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Solution

The fourth proportional to 8,651, 12,975.28 and 4,941.20 is: 7,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651 : 12,975.28 = 4,941.20 : x
  2. Step 2: Convert to fraction form
    8,651/12,975.28 = 4,941.20/x
  3. Step 3: Cross multiply
    8,651x = 12,975.28 × 4,941.20
  4. Step 4: Simplify right side
    8,651x = 64,113,453.54
  5. Step 5: Solve for x
    x = 64,113,453.54/8,651
  6. Step 6: Final answer
    x = 7,411.10

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Why These Related Problems?

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