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Finding the Fourth Proportional to 8,547.58, 12,822.99 and 2,704.51

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Solution

The fourth proportional to 8,547.58, 12,822.99 and 2,704.51 is: 4,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.58 : 12,822.99 = 2,704.51 : x
  2. Step 2: Convert to fraction form
    8,547.58/12,822.99 = 2,704.51/x
  3. Step 3: Cross multiply
    8,547.58x = 12,822.99 × 2,704.51
  4. Step 4: Simplify right side
    8,547.58x = 34,679,904.68
  5. Step 5: Solve for x
    x = 34,679,904.68/8,547.58
  6. Step 6: Final answer
    x = 4,057.28

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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.