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Finding the Fourth Proportional to 7,310.64, 10,088.22 and 4,166.28

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Solution

The fourth proportional to 7,310.64, 10,088.22 and 4,166.28 is: 5,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.64 : 10,088.22 = 4,166.28 : x
  2. Step 2: Convert to fraction form
    7,310.64/10,088.22 = 4,166.28/x
  3. Step 3: Cross multiply
    7,310.64x = 10,088.22 × 4,166.28
  4. Step 4: Simplify right side
    7,310.64x = 42,030,349.22
  5. Step 5: Solve for x
    x = 42,030,349.22/7,310.64
  6. Step 6: Final answer
    x = 5,749.20

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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.