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Finding the Fourth Proportional to 8,435.64, 11,642.61 and 4,900.91

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Solution

The fourth proportional to 8,435.64, 11,642.61 and 4,900.91 is: 6,764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.64 : 11,642.61 = 4,900.91 : x
  2. Step 2: Convert to fraction form
    8,435.64/11,642.61 = 4,900.91/x
  3. Step 3: Cross multiply
    8,435.64x = 11,642.61 × 4,900.91
  4. Step 4: Simplify right side
    8,435.64x = 57,059,337.81
  5. Step 5: Solve for x
    x = 57,059,337.81/8,435.64
  6. Step 6: Final answer
    x = 6,764.08

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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.