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Finding the Fourth Proportional to 10,430.46, 14,393.43 and 5,713.92

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Solution

The fourth proportional to 10,430.46, 14,393.43 and 5,713.92 is: 7,884.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.46 : 14,393.43 = 5,713.92 : x
  2. Step 2: Convert to fraction form
    10,430.46/14,393.43 = 5,713.92/x
  3. Step 3: Cross multiply
    10,430.46x = 14,393.43 × 5,713.92
  4. Step 4: Simplify right side
    10,430.46x = 82,242,907.55
  5. Step 5: Solve for x
    x = 82,242,907.55/10,430.46
  6. Step 6: Final answer
    x = 7,884.88

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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.