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Finding the Fourth Proportional to 7,653.94, 11,480.76 and 4,360

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Solution

The fourth proportional to 7,653.94, 11,480.76 and 4,360 is: 6,539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653.94 : 11,480.76 = 4,360 : x
  2. Step 2: Convert to fraction form
    7,653.94/11,480.76 = 4,360/x
  3. Step 3: Cross multiply
    7,653.94x = 11,480.76 × 4,360
  4. Step 4: Simplify right side
    7,653.94x = 50,056,113.60
  5. Step 5: Solve for x
    x = 50,056,113.60/7,653.94
  6. Step 6: Final answer
    x = 6,539.91

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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.