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Finding the Fourth Proportional to 10,840.36, 14,958.62 and 6,123.72

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Solution

The fourth proportional to 10,840.36, 14,958.62 and 6,123.72 is: 8,450.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.36 : 14,958.62 = 6,123.72 : x
  2. Step 2: Convert to fraction form
    10,840.36/14,958.62 = 6,123.72/x
  3. Step 3: Cross multiply
    10,840.36x = 14,958.62 × 6,123.72
  4. Step 4: Simplify right side
    10,840.36x = 91,602,400.47
  5. Step 5: Solve for x
    x = 91,602,400.47/10,840.36
  6. Step 6: Final answer
    x = 8,450.13

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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.