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Finding the Fourth Proportional to 7,580.68, 10,462.59 and 4,436.26

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Solution

The fourth proportional to 7,580.68, 10,462.59 and 4,436.26 is: 6,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.68 : 10,462.59 = 4,436.26 : x
  2. Step 2: Convert to fraction form
    7,580.68/10,462.59 = 4,436.26/x
  3. Step 3: Cross multiply
    7,580.68x = 10,462.59 × 4,436.26
  4. Step 4: Simplify right side
    7,580.68x = 46,414,769.51
  5. Step 5: Solve for x
    x = 46,414,769.51/7,580.68
  6. Step 6: Final answer
    x = 6,122.77

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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.