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Finding the Fourth Proportional to 7,725.82, 10,661.50 and 4,368.50

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Solution

The fourth proportional to 7,725.82, 10,661.50 and 4,368.50 is: 6,028.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.82 : 10,661.50 = 4,368.50 : x
  2. Step 2: Convert to fraction form
    7,725.82/10,661.50 = 4,368.50/x
  3. Step 3: Cross multiply
    7,725.82x = 10,661.50 × 4,368.50
  4. Step 4: Simplify right side
    7,725.82x = 46,574,762.75
  5. Step 5: Solve for x
    x = 46,574,762.75/7,725.82
  6. Step 6: Final answer
    x = 6,028.46

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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.