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Finding the Fourth Proportional to 8,563.35, 12,838.80 and 5,783.13

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Solution

The fourth proportional to 8,563.35, 12,838.80 and 5,783.13 is: 8,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.35 : 12,838.80 = 5,783.13 : x
  2. Step 2: Convert to fraction form
    8,563.35/12,838.80 = 5,783.13/x
  3. Step 3: Cross multiply
    8,563.35x = 12,838.80 × 5,783.13
  4. Step 4: Simplify right side
    8,563.35x = 74,248,471.13
  5. Step 5: Solve for x
    x = 74,248,471.13/8,563.35
  6. Step 6: Final answer
    x = 8,670.49

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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.