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Finding the Fourth Proportional to 10,429.71, 14,393.19 and 5,713.70

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Solution

The fourth proportional to 10,429.71, 14,393.19 and 5,713.70 is: 7,885.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.71 : 14,393.19 = 5,713.70 : x
  2. Step 2: Convert to fraction form
    10,429.71/14,393.19 = 5,713.70/x
  3. Step 3: Cross multiply
    10,429.71x = 14,393.19 × 5,713.70
  4. Step 4: Simplify right side
    10,429.71x = 82,238,297.74
  5. Step 5: Solve for x
    x = 82,238,297.74/10,429.71
  6. Step 6: Final answer
    x = 7,885.00

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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.