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Finding the Fourth Proportional to 10,070.36, 13,896.81 and 5,594

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Solution

The fourth proportional to 10,070.36, 13,896.81 and 5,594 is: 7,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.36 : 13,896.81 = 5,594 : x
  2. Step 2: Convert to fraction form
    10,070.36/13,896.81 = 5,594/x
  3. Step 3: Cross multiply
    10,070.36x = 13,896.81 × 5,594
  4. Step 4: Simplify right side
    10,070.36x = 77,738,755.14
  5. Step 5: Solve for x
    x = 77,738,755.14/10,070.36
  6. Step 6: Final answer
    x = 7,719.56

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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.