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Finding the Fourth Proportional to 7,352.29, 10,143.93 and 4,165.08

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Solution

The fourth proportional to 7,352.29, 10,143.93 and 4,165.08 is: 5,746.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.29 : 10,143.93 = 4,165.08 : x
  2. Step 2: Convert to fraction form
    7,352.29/10,143.93 = 4,165.08/x
  3. Step 3: Cross multiply
    7,352.29x = 10,143.93 × 4,165.08
  4. Step 4: Simplify right side
    7,352.29x = 42,250,279.96
  5. Step 5: Solve for x
    x = 42,250,279.96/7,352.29
  6. Step 6: Final answer
    x = 5,746.55

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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.