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Finding the Fourth Proportional to 8,530.47, 12,797.51 and 4,150.40

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Solution

The fourth proportional to 8,530.47, 12,797.51 and 4,150.40 is: 6,226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.47 : 12,797.51 = 4,150.40 : x
  2. Step 2: Convert to fraction form
    8,530.47/12,797.51 = 4,150.40/x
  3. Step 3: Cross multiply
    8,530.47x = 12,797.51 × 4,150.40
  4. Step 4: Simplify right side
    8,530.47x = 53,114,700.76
  5. Step 5: Solve for x
    x = 53,114,700.76/8,530.47
  6. Step 6: Final answer
    x = 6,226.47

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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.