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Finding the Fourth Proportional to 7,482.07, 11,199.41 and 4,185.17

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Solution

The fourth proportional to 7,482.07, 11,199.41 and 4,185.17 is: 6,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.07 : 11,199.41 = 4,185.17 : x
  2. Step 2: Convert to fraction form
    7,482.07/11,199.41 = 4,185.17/x
  3. Step 3: Cross multiply
    7,482.07x = 11,199.41 × 4,185.17
  4. Step 4: Simplify right side
    7,482.07x = 46,871,357.83
  5. Step 5: Solve for x
    x = 46,871,357.83/7,482.07
  6. Step 6: Final answer
    x = 6,264.49

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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.