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Finding the Fourth Proportional to 7,955.12, 11,852.74 and 7,508

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Solution

The fourth proportional to 7,955.12, 11,852.74 and 7,508 is: 11,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.12 : 11,852.74 = 7,508 : x
  2. Step 2: Convert to fraction form
    7,955.12/11,852.74 = 7,508/x
  3. Step 3: Cross multiply
    7,955.12x = 11,852.74 × 7,508
  4. Step 4: Simplify right side
    7,955.12x = 88,990,371.92
  5. Step 5: Solve for x
    x = 88,990,371.92/7,955.12
  6. Step 6: Final answer
    x = 11,186.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.