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Finding the Fourth Proportional to 7,580.50, 10,460.69 and 4,177.40

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Solution

The fourth proportional to 7,580.50, 10,460.69 and 4,177.40 is: 5,764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.50 : 10,460.69 = 4,177.40 : x
  2. Step 2: Convert to fraction form
    7,580.50/10,460.69 = 4,177.40/x
  3. Step 3: Cross multiply
    7,580.50x = 10,460.69 × 4,177.40
  4. Step 4: Simplify right side
    7,580.50x = 43,698,439.37
  5. Step 5: Solve for x
    x = 43,698,439.37/7,580.50
  6. Step 6: Final answer
    x = 5,764.59

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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.