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Finding the Fourth Proportional to 8,385.64, 11,572.68 and 4,850.08

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Solution

The fourth proportional to 8,385.64, 11,572.68 and 4,850.08 is: 6,693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.64 : 11,572.68 = 4,850.08 : x
  2. Step 2: Convert to fraction form
    8,385.64/11,572.68 = 4,850.08/x
  3. Step 3: Cross multiply
    8,385.64x = 11,572.68 × 4,850.08
  4. Step 4: Simplify right side
    8,385.64x = 56,128,423.81
  5. Step 5: Solve for x
    x = 56,128,423.81/8,385.64
  6. Step 6: Final answer
    x = 6,693.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.