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Finding the Fourth Proportional to 10,430.16, 14,393.49 and 5,714.43

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Solution

The fourth proportional to 10,430.16, 14,393.49 and 5,714.43 is: 7,885.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.16 : 14,393.49 = 5,714.43 : x
  2. Step 2: Convert to fraction form
    10,430.16/14,393.49 = 5,714.43/x
  3. Step 3: Cross multiply
    10,430.16x = 14,393.49 × 5,714.43
  4. Step 4: Simplify right side
    10,430.16x = 82,250,591.06
  5. Step 5: Solve for x
    x = 82,250,591.06/10,430.16
  6. Step 6: Final answer
    x = 7,885.84

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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.