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Finding the Fourth Proportional to 8,084.71, 11,156.82 and 4,547.94

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Solution

The fourth proportional to 8,084.71, 11,156.82 and 4,547.94 is: 6,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.71 : 11,156.82 = 4,547.94 : x
  2. Step 2: Convert to fraction form
    8,084.71/11,156.82 = 4,547.94/x
  3. Step 3: Cross multiply
    8,084.71x = 11,156.82 × 4,547.94
  4. Step 4: Simplify right side
    8,084.71x = 50,740,547.95
  5. Step 5: Solve for x
    x = 50,740,547.95/8,084.71
  6. Step 6: Final answer
    x = 6,276.12

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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.