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Finding the Fourth Proportional to 8,083.62, 11,156.42 and 4,547.51

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Solution

The fourth proportional to 8,083.62, 11,156.42 and 4,547.51 is: 6,276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.62 : 11,156.42 = 4,547.51 : x
  2. Step 2: Convert to fraction form
    8,083.62/11,156.42 = 4,547.51/x
  3. Step 3: Cross multiply
    8,083.62x = 11,156.42 × 4,547.51
  4. Step 4: Simplify right side
    8,083.62x = 50,733,928.94
  5. Step 5: Solve for x
    x = 50,733,928.94/8,083.62
  6. Step 6: Final answer
    x = 6,276.14

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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.