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Finding the Fourth Proportional to 7,580.82, 10,459.88 and 4,596.78

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Solution

The fourth proportional to 7,580.82, 10,459.88 and 4,596.78 is: 6,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.82 : 10,459.88 = 4,596.78 : x
  2. Step 2: Convert to fraction form
    7,580.82/10,459.88 = 4,596.78/x
  3. Step 3: Cross multiply
    7,580.82x = 10,459.88 × 4,596.78
  4. Step 4: Simplify right side
    7,580.82x = 48,081,767.19
  5. Step 5: Solve for x
    x = 48,081,767.19/7,580.82
  6. Step 6: Final answer
    x = 6,342.55

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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.