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Finding the Fourth Proportional to 8,948.86, 12,345.12 and 5,361.40

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Solution

The fourth proportional to 8,948.86, 12,345.12 and 5,361.40 is: 7,396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948.86 : 12,345.12 = 5,361.40 : x
  2. Step 2: Convert to fraction form
    8,948.86/12,345.12 = 5,361.40/x
  3. Step 3: Cross multiply
    8,948.86x = 12,345.12 × 5,361.40
  4. Step 4: Simplify right side
    8,948.86x = 66,187,126.37
  5. Step 5: Solve for x
    x = 66,187,126.37/8,948.86
  6. Step 6: Final answer
    x = 7,396.15

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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.