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Finding the Fourth Proportional to 7,558.08, 10,429.44 and 4,200

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Solution

The fourth proportional to 7,558.08, 10,429.44 and 4,200 is: 5,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.08 : 10,429.44 = 4,200 : x
  2. Step 2: Convert to fraction form
    7,558.08/10,429.44 = 4,200/x
  3. Step 3: Cross multiply
    7,558.08x = 10,429.44 × 4,200
  4. Step 4: Simplify right side
    7,558.08x = 43,803,648
  5. Step 5: Solve for x
    x = 43,803,648/7,558.08
  6. Step 6: Final answer
    x = 5,795.61

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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.