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Finding the Fourth Proportional to 8,435.81, 11,642.21 and 6,307.65

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Solution

The fourth proportional to 8,435.81, 11,642.21 and 6,307.65 is: 8,705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.81 : 11,642.21 = 6,307.65 : x
  2. Step 2: Convert to fraction form
    8,435.81/11,642.21 = 6,307.65/x
  3. Step 3: Cross multiply
    8,435.81x = 11,642.21 × 6,307.65
  4. Step 4: Simplify right side
    8,435.81x = 73,434,985.91
  5. Step 5: Solve for x
    x = 73,434,985.91/8,435.81
  6. Step 6: Final answer
    x = 8,705.15

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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.