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Finding the Fourth Proportional to 10,072.34, 13,900.07 and 5,596.28

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Solution

The fourth proportional to 10,072.34, 13,900.07 and 5,596.28 is: 7,723.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.34 : 13,900.07 = 5,596.28 : x
  2. Step 2: Convert to fraction form
    10,072.34/13,900.07 = 5,596.28/x
  3. Step 3: Cross multiply
    10,072.34x = 13,900.07 × 5,596.28
  4. Step 4: Simplify right side
    10,072.34x = 77,788,683.74
  5. Step 5: Solve for x
    x = 77,788,683.74/10,072.34
  6. Step 6: Final answer
    x = 7,723.00

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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.