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Finding the Fourth Proportional to 8,543.16, 12,813.78 and 2,303.64

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Solution

The fourth proportional to 8,543.16, 12,813.78 and 2,303.64 is: 3,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.16 : 12,813.78 = 2,303.64 : x
  2. Step 2: Convert to fraction form
    8,543.16/12,813.78 = 2,303.64/x
  3. Step 3: Cross multiply
    8,543.16x = 12,813.78 × 2,303.64
  4. Step 4: Simplify right side
    8,543.16x = 29,518,336.16
  5. Step 5: Solve for x
    x = 29,518,336.16/8,543.16
  6. Step 6: Final answer
    x = 3,455.20

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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.