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Finding the Fourth Proportional to 10,714.48, 14,784.66 and 5,934.06

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Solution

The fourth proportional to 10,714.48, 14,784.66 and 5,934.06 is: 8,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.48 : 14,784.66 = 5,934.06 : x
  2. Step 2: Convert to fraction form
    10,714.48/14,784.66 = 5,934.06/x
  3. Step 3: Cross multiply
    10,714.48x = 14,784.66 × 5,934.06
  4. Step 4: Simplify right side
    10,714.48x = 87,733,059.52
  5. Step 5: Solve for x
    x = 87,733,059.52/10,714.48
  6. Step 6: Final answer
    x = 8,188.27

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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.