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Finding the Fourth Proportional to 8,434.56, 11,639.06 and 4,897.20

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Solution

The fourth proportional to 8,434.56, 11,639.06 and 4,897.20 is: 6,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.56 : 11,639.06 = 4,897.20 : x
  2. Step 2: Convert to fraction form
    8,434.56/11,639.06 = 4,897.20/x
  3. Step 3: Cross multiply
    8,434.56x = 11,639.06 × 4,897.20
  4. Step 4: Simplify right side
    8,434.56x = 56,998,804.63
  5. Step 5: Solve for x
    x = 56,998,804.63/8,434.56
  6. Step 6: Final answer
    x = 6,757.77

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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.