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Finding the Fourth Proportional to 10,656.02, 14,705.32 and 5,940.20

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Solution

The fourth proportional to 10,656.02, 14,705.32 and 5,940.20 is: 8,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.02 : 14,705.32 = 5,940.20 : x
  2. Step 2: Convert to fraction form
    10,656.02/14,705.32 = 5,940.20/x
  3. Step 3: Cross multiply
    10,656.02x = 14,705.32 × 5,940.20
  4. Step 4: Simplify right side
    10,656.02x = 87,352,541.86
  5. Step 5: Solve for x
    x = 87,352,541.86/10,656.02
  6. Step 6: Final answer
    x = 8,197.48

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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.