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Finding the Fourth Proportional to 8,662.31, 11,953.93 and 4,683.40

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Solution

The fourth proportional to 8,662.31, 11,953.93 and 4,683.40 is: 6,463.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.31 : 11,953.93 = 4,683.40 : x
  2. Step 2: Convert to fraction form
    8,662.31/11,953.93 = 4,683.40/x
  3. Step 3: Cross multiply
    8,662.31x = 11,953.93 × 4,683.40
  4. Step 4: Simplify right side
    8,662.31x = 55,985,070.19
  5. Step 5: Solve for x
    x = 55,985,070.19/8,662.31
  6. Step 6: Final answer
    x = 6,463.07

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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.