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Finding the Fourth Proportional to 7,680.88, 10,599.36 and 4,537

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Solution

The fourth proportional to 7,680.88, 10,599.36 and 4,537 is: 6,260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.88 : 10,599.36 = 4,537 : x
  2. Step 2: Convert to fraction form
    7,680.88/10,599.36 = 4,537/x
  3. Step 3: Cross multiply
    7,680.88x = 10,599.36 × 4,537
  4. Step 4: Simplify right side
    7,680.88x = 48,089,296.32
  5. Step 5: Solve for x
    x = 48,089,296.32/7,680.88
  6. Step 6: Final answer
    x = 6,260.91

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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.