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Finding the Fourth Proportional to 7,257.78, 10,017.54 and 4,735.58

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Solution

The fourth proportional to 7,257.78, 10,017.54 and 4,735.58 is: 6,536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.78 : 10,017.54 = 4,735.58 : x
  2. Step 2: Convert to fraction form
    7,257.78/10,017.54 = 4,735.58/x
  3. Step 3: Cross multiply
    7,257.78x = 10,017.54 × 4,735.58
  4. Step 4: Simplify right side
    7,257.78x = 47,438,811.99
  5. Step 5: Solve for x
    x = 47,438,811.99/7,257.78
  6. Step 6: Final answer
    x = 6,536.27

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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.