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Finding the Fourth Proportional to 7,725.33, 10,661.00 and 4,188.51

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Solution

The fourth proportional to 7,725.33, 10,661.00 and 4,188.51 is: 5,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.33 : 10,661.00 = 4,188.51 : x
  2. Step 2: Convert to fraction form
    7,725.33/10,661.00 = 4,188.51/x
  3. Step 3: Cross multiply
    7,725.33x = 10,661.00 × 4,188.51
  4. Step 4: Simplify right side
    7,725.33x = 44,653,684.17
  5. Step 5: Solve for x
    x = 44,653,684.17/7,725.33
  6. Step 6: Final answer
    x = 5,780.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.