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Finding the Fourth Proportional to 7,547.82, 10,426.02 and 6,293.04

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Solution

The fourth proportional to 7,547.82, 10,426.02 and 6,293.04 is: 8,692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.82 : 10,426.02 = 6,293.04 : x
  2. Step 2: Convert to fraction form
    7,547.82/10,426.02 = 6,293.04/x
  3. Step 3: Cross multiply
    7,547.82x = 10,426.02 × 6,293.04
  4. Step 4: Simplify right side
    7,547.82x = 65,611,360.90
  5. Step 5: Solve for x
    x = 65,611,360.90/7,547.82
  6. Step 6: Final answer
    x = 8,692.76

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