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Finding the Fourth Proportional to 7,580.88, 10,460.09 and 4,436.46

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Solution

The fourth proportional to 7,580.88, 10,460.09 and 4,436.46 is: 6,121.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.88 : 10,460.09 = 4,436.46 : x
  2. Step 2: Convert to fraction form
    7,580.88/10,460.09 = 4,436.46/x
  3. Step 3: Cross multiply
    7,580.88x = 10,460.09 × 4,436.46
  4. Step 4: Simplify right side
    7,580.88x = 46,405,748.70
  5. Step 5: Solve for x
    x = 46,405,748.70/7,580.88
  6. Step 6: Final answer
    x = 6,121.42

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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.