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Finding the Fourth Proportional to 7,432.88, 10,258.26 and 4,289

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Solution

The fourth proportional to 7,432.88, 10,258.26 and 4,289 is: 5,919.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.88 : 10,258.26 = 4,289 : x
  2. Step 2: Convert to fraction form
    7,432.88/10,258.26 = 4,289/x
  3. Step 3: Cross multiply
    7,432.88x = 10,258.26 × 4,289
  4. Step 4: Simplify right side
    7,432.88x = 43,997,677.14
  5. Step 5: Solve for x
    x = 43,997,677.14/7,432.88
  6. Step 6: Final answer
    x = 5,919.33

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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.