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Finding the Fourth Proportional to 8,464.68, 11,681.46 and 4,688.10

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Solution

The fourth proportional to 8,464.68, 11,681.46 and 4,688.10 is: 6,469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.68 : 11,681.46 = 4,688.10 : x
  2. Step 2: Convert to fraction form
    8,464.68/11,681.46 = 4,688.10/x
  3. Step 3: Cross multiply
    8,464.68x = 11,681.46 × 4,688.10
  4. Step 4: Simplify right side
    8,464.68x = 54,763,852.63
  5. Step 5: Solve for x
    x = 54,763,852.63/8,464.68
  6. Step 6: Final answer
    x = 6,469.69

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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.