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Finding the Fourth Proportional to 7,154.67, 10,735.08 and 3,459.66

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Solution

The fourth proportional to 7,154.67, 10,735.08 and 3,459.66 is: 5,190.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.67 : 10,735.08 = 3,459.66 : x
  2. Step 2: Convert to fraction form
    7,154.67/10,735.08 = 3,459.66/x
  3. Step 3: Cross multiply
    7,154.67x = 10,735.08 × 3,459.66
  4. Step 4: Simplify right side
    7,154.67x = 37,139,726.87
  5. Step 5: Solve for x
    x = 37,139,726.87/7,154.67
  6. Step 6: Final answer
    x = 5,190.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.