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Finding the Fourth Proportional to 7,137.54, 10,707.35 and 2,458.71

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Solution

The fourth proportional to 7,137.54, 10,707.35 and 2,458.71 is: 3,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.54 : 10,707.35 = 2,458.71 : x
  2. Step 2: Convert to fraction form
    7,137.54/10,707.35 = 2,458.71/x
  3. Step 3: Cross multiply
    7,137.54x = 10,707.35 × 2,458.71
  4. Step 4: Simplify right side
    7,137.54x = 26,326,256.22
  5. Step 5: Solve for x
    x = 26,326,256.22/7,137.54
  6. Step 6: Final answer
    x = 3,688.42

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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.