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Finding the Fourth Proportional to 10,129.37, 13,979.23 and 5,653.99

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Solution

The fourth proportional to 10,129.37, 13,979.23 and 5,653.99 is: 7,802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.37 : 13,979.23 = 5,653.99 : x
  2. Step 2: Convert to fraction form
    10,129.37/13,979.23 = 5,653.99/x
  3. Step 3: Cross multiply
    10,129.37x = 13,979.23 × 5,653.99
  4. Step 4: Simplify right side
    10,129.37x = 79,038,501.09
  5. Step 5: Solve for x
    x = 79,038,501.09/10,129.37
  6. Step 6: Final answer
    x = 7,802.90

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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.