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Finding the Fourth Proportional to 7,733.56, 10,672.38 and 4,376.40

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Solution

The fourth proportional to 7,733.56, 10,672.38 and 4,376.40 is: 6,039.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.56 : 10,672.38 = 4,376.40 : x
  2. Step 2: Convert to fraction form
    7,733.56/10,672.38 = 4,376.40/x
  3. Step 3: Cross multiply
    7,733.56x = 10,672.38 × 4,376.40
  4. Step 4: Simplify right side
    7,733.56x = 46,706,603.83
  5. Step 5: Solve for x
    x = 46,706,603.83/7,733.56
  6. Step 6: Final answer
    x = 6,039.47

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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.