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Finding the Fourth Proportional to 11,055.84, 15,257 and 6,019.92

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Solution

The fourth proportional to 11,055.84, 15,257 and 6,019.92 is: 8,307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,055.84 : 15,257 = 6,019.92 : x
  2. Step 2: Convert to fraction form
    11,055.84/15,257 = 6,019.92/x
  3. Step 3: Cross multiply
    11,055.84x = 15,257 × 6,019.92
  4. Step 4: Simplify right side
    11,055.84x = 91,845,919.44
  5. Step 5: Solve for x
    x = 91,845,919.44/11,055.84
  6. Step 6: Final answer
    x = 8,307.46

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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.