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Finding the Fourth Proportional to 10,714.53, 14,783.66 and 6,466.28

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Solution

The fourth proportional to 10,714.53, 14,783.66 and 6,466.28 is: 8,922.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.53 : 14,783.66 = 6,466.28 : x
  2. Step 2: Convert to fraction form
    10,714.53/14,783.66 = 6,466.28/x
  3. Step 3: Cross multiply
    10,714.53x = 14,783.66 × 6,466.28
  4. Step 4: Simplify right side
    10,714.53x = 95,595,178.74
  5. Step 5: Solve for x
    x = 95,595,178.74/10,714.53
  6. Step 6: Final answer
    x = 8,922.01

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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.