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Finding the Fourth Proportional to 8,435.31, 11,641.64 and 4,900.47

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Solution

The fourth proportional to 8,435.31, 11,641.64 and 4,900.47 is: 6,763.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.31 : 11,641.64 = 4,900.47 : x
  2. Step 2: Convert to fraction form
    8,435.31/11,641.64 = 4,900.47/x
  3. Step 3: Cross multiply
    8,435.31x = 11,641.64 × 4,900.47
  4. Step 4: Simplify right side
    8,435.31x = 57,049,483.07
  5. Step 5: Solve for x
    x = 57,049,483.07/8,435.31
  6. Step 6: Final answer
    x = 6,763.18

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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.