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Finding the Fourth Proportional to 7,258.96, 10,025.52 and 4,897

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Solution

The fourth proportional to 7,258.96, 10,025.52 and 4,897 is: 6,763.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.96 : 10,025.52 = 4,897 : x
  2. Step 2: Convert to fraction form
    7,258.96/10,025.52 = 4,897/x
  3. Step 3: Cross multiply
    7,258.96x = 10,025.52 × 4,897
  4. Step 4: Simplify right side
    7,258.96x = 49,094,971.44
  5. Step 5: Solve for x
    x = 49,094,971.44/7,258.96
  6. Step 6: Final answer
    x = 6,763.36

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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.