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Finding the Fourth Proportional to 8,462.18, 11,678.02 and 4,685.60

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Solution

The fourth proportional to 8,462.18, 11,678.02 and 4,685.60 is: 6,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.18 : 11,678.02 = 4,685.60 : x
  2. Step 2: Convert to fraction form
    8,462.18/11,678.02 = 4,685.60/x
  3. Step 3: Cross multiply
    8,462.18x = 11,678.02 × 4,685.60
  4. Step 4: Simplify right side
    8,462.18x = 54,718,530.51
  5. Step 5: Solve for x
    x = 54,718,530.51/8,462.18
  6. Step 6: Final answer
    x = 6,466.25

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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.