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Finding the Fourth Proportional to 10,617.50, 14,652.47 and 6,142.66

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Solution

The fourth proportional to 10,617.50, 14,652.47 and 6,142.66 is: 8,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.50 : 14,652.47 = 6,142.66 : x
  2. Step 2: Convert to fraction form
    10,617.50/14,652.47 = 6,142.66/x
  3. Step 3: Cross multiply
    10,617.50x = 14,652.47 × 6,142.66
  4. Step 4: Simplify right side
    10,617.50x = 90,005,120.10
  5. Step 5: Solve for x
    x = 90,005,120.10/10,617.50
  6. Step 6: Final answer
    x = 8,477.05

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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.