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Finding the Fourth Proportional to 7,143.16, 9,853.60 and 4,158.68

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Solution

The fourth proportional to 7,143.16, 9,853.60 and 4,158.68 is: 5,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.16 : 9,853.60 = 4,158.68 : x
  2. Step 2: Convert to fraction form
    7,143.16/9,853.60 = 4,158.68/x
  3. Step 3: Cross multiply
    7,143.16x = 9,853.60 × 4,158.68
  4. Step 4: Simplify right side
    7,143.16x = 40,977,969.25
  5. Step 5: Solve for x
    x = 40,977,969.25/7,143.16
  6. Step 6: Final answer
    x = 5,736.67

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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.