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Finding the Fourth Proportional to 7,310.84, 10,088.69 and 4,166.42

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Solution

The fourth proportional to 7,310.84, 10,088.69 and 4,166.42 is: 5,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.84 : 10,088.69 = 4,166.42 : x
  2. Step 2: Convert to fraction form
    7,310.84/10,088.69 = 4,166.42/x
  3. Step 3: Cross multiply
    7,310.84x = 10,088.69 × 4,166.42
  4. Step 4: Simplify right side
    7,310.84x = 42,033,648.51
  5. Step 5: Solve for x
    x = 42,033,648.51/7,310.84
  6. Step 6: Final answer
    x = 5,749.50

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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.