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Finding the Fourth Proportional to 10,429.94, 14,393.53 and 5,713.94

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Solution

The fourth proportional to 10,429.94, 14,393.53 and 5,713.94 is: 7,885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.94 : 14,393.53 = 5,713.94 : x
  2. Step 2: Convert to fraction form
    10,429.94/14,393.53 = 5,713.94/x
  3. Step 3: Cross multiply
    10,429.94x = 14,393.53 × 5,713.94
  4. Step 4: Simplify right side
    10,429.94x = 82,243,766.81
  5. Step 5: Solve for x
    x = 82,243,766.81/10,429.94
  6. Step 6: Final answer
    x = 7,885.35

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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.