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Finding the Fourth Proportional to 10,753.83, 14,840.46 and 6,504.93

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Solution

The fourth proportional to 10,753.83, 14,840.46 and 6,504.93 is: 8,976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.83 : 14,840.46 = 6,504.93 : x
  2. Step 2: Convert to fraction form
    10,753.83/14,840.46 = 6,504.93/x
  3. Step 3: Cross multiply
    10,753.83x = 14,840.46 × 6,504.93
  4. Step 4: Simplify right side
    10,753.83x = 96,536,153.47
  5. Step 5: Solve for x
    x = 96,536,153.47/10,753.83
  6. Step 6: Final answer
    x = 8,976.91

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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.