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Finding the Fourth Proportional to 8,094.42, 12,142.50 and 2,547.93

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Solution

The fourth proportional to 8,094.42, 12,142.50 and 2,547.93 is: 3,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.42 : 12,142.50 = 2,547.93 : x
  2. Step 2: Convert to fraction form
    8,094.42/12,142.50 = 2,547.93/x
  3. Step 3: Cross multiply
    8,094.42x = 12,142.50 × 2,547.93
  4. Step 4: Simplify right side
    8,094.42x = 30,938,240.03
  5. Step 5: Solve for x
    x = 30,938,240.03/8,094.42
  6. Step 6: Final answer
    x = 3,822.17

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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.