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Finding the Fourth Proportional to 7,302.60, 10,076.58 and 4,115.49

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Solution

The fourth proportional to 7,302.60, 10,076.58 and 4,115.49 is: 5,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.60 : 10,076.58 = 4,115.49 : x
  2. Step 2: Convert to fraction form
    7,302.60/10,076.58 = 4,115.49/x
  3. Step 3: Cross multiply
    7,302.60x = 10,076.58 × 4,115.49
  4. Step 4: Simplify right side
    7,302.60x = 41,470,064.22
  5. Step 5: Solve for x
    x = 41,470,064.22/7,302.60
  6. Step 6: Final answer
    x = 5,678.81

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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.