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Finding the Fourth Proportional to 8,547.36, 12,822.84 and 4,851.36

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Solution

The fourth proportional to 8,547.36, 12,822.84 and 4,851.36 is: 7,278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.36 : 12,822.84 = 4,851.36 : x
  2. Step 2: Convert to fraction form
    8,547.36/12,822.84 = 4,851.36/x
  3. Step 3: Cross multiply
    8,547.36x = 12,822.84 × 4,851.36
  4. Step 4: Simplify right side
    8,547.36x = 62,208,213.06
  5. Step 5: Solve for x
    x = 62,208,213.06/8,547.36
  6. Step 6: Final answer
    x = 7,278.06

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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.