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Finding the Fourth Proportional to 8,322.67, 12,484.65 and 2,776.01

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Solution

The fourth proportional to 8,322.67, 12,484.65 and 2,776.01 is: 4,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.67 : 12,484.65 = 2,776.01 : x
  2. Step 2: Convert to fraction form
    8,322.67/12,484.65 = 2,776.01/x
  3. Step 3: Cross multiply
    8,322.67x = 12,484.65 × 2,776.01
  4. Step 4: Simplify right side
    8,322.67x = 34,657,513.25
  5. Step 5: Solve for x
    x = 34,657,513.25/8,322.67
  6. Step 6: Final answer
    x = 4,164.23

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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.