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Finding the Fourth Proportional to 8,083.88, 11,154.86 and 4,547.02

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Solution

The fourth proportional to 8,083.88, 11,154.86 and 4,547.02 is: 6,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.88 : 11,154.86 = 4,547.02 : x
  2. Step 2: Convert to fraction form
    8,083.88/11,154.86 = 4,547.02/x
  3. Step 3: Cross multiply
    8,083.88x = 11,154.86 × 4,547.02
  4. Step 4: Simplify right side
    8,083.88x = 50,721,320.89
  5. Step 5: Solve for x
    x = 50,721,320.89/8,083.88
  6. Step 6: Final answer
    x = 6,274.38

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Why These Related Problems?

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