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Finding the Fourth Proportional to 8,460.96, 11,675.96 and 4,684.13

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Solution

The fourth proportional to 8,460.96, 11,675.96 and 4,684.13 is: 6,464.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.96 : 11,675.96 = 4,684.13 : x
  2. Step 2: Convert to fraction form
    8,460.96/11,675.96 = 4,684.13/x
  3. Step 3: Cross multiply
    8,460.96x = 11,675.96 × 4,684.13
  4. Step 4: Simplify right side
    8,460.96x = 54,691,632.71
  5. Step 5: Solve for x
    x = 54,691,632.71/8,460.96
  6. Step 6: Final answer
    x = 6,464.00

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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.