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Finding the Fourth Proportional to 7,558.17, 10,430.46 and 4,201.13

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Solution

The fourth proportional to 7,558.17, 10,430.46 and 4,201.13 is: 5,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.17 : 10,430.46 = 4,201.13 : x
  2. Step 2: Convert to fraction form
    7,558.17/10,430.46 = 4,201.13/x
  3. Step 3: Cross multiply
    7,558.17x = 10,430.46 × 4,201.13
  4. Step 4: Simplify right side
    7,558.17x = 43,819,645.26
  5. Step 5: Solve for x
    x = 43,819,645.26/7,558.17
  6. Step 6: Final answer
    x = 5,797.65

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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.