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Finding the Fourth Proportional to 8,564.49, 12,840.48 and 5,784.27

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Solution

The fourth proportional to 8,564.49, 12,840.48 and 5,784.27 is: 8,672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.49 : 12,840.48 = 5,784.27 : x
  2. Step 2: Convert to fraction form
    8,564.49/12,840.48 = 5,784.27/x
  3. Step 3: Cross multiply
    8,564.49x = 12,840.48 × 5,784.27
  4. Step 4: Simplify right side
    8,564.49x = 74,272,803.25
  5. Step 5: Solve for x
    x = 74,272,803.25/8,564.49
  6. Step 6: Final answer
    x = 8,672.18

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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.