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Finding the Fourth Proportional to 7,259.76, 10,018.68 and 4,115.84

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Solution

The fourth proportional to 7,259.76, 10,018.68 and 4,115.84 is: 5,679.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.76 : 10,018.68 = 4,115.84 : x
  2. Step 2: Convert to fraction form
    7,259.76/10,018.68 = 4,115.84/x
  3. Step 3: Cross multiply
    7,259.76x = 10,018.68 × 4,115.84
  4. Step 4: Simplify right side
    7,259.76x = 41,235,283.89
  5. Step 5: Solve for x
    x = 41,235,283.89/7,259.76
  6. Step 6: Final answer
    x = 5,679.98

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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.