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Finding the Fourth Proportional to 10,070.17, 13,896.93 and 5,593.93

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Solution

The fourth proportional to 10,070.17, 13,896.93 and 5,593.93 is: 7,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.17 : 13,896.93 = 5,593.93 : x
  2. Step 2: Convert to fraction form
    10,070.17/13,896.93 = 5,593.93/x
  3. Step 3: Cross multiply
    10,070.17x = 13,896.93 × 5,593.93
  4. Step 4: Simplify right side
    10,070.17x = 77,738,453.63
  5. Step 5: Solve for x
    x = 77,738,453.63/10,070.17
  6. Step 6: Final answer
    x = 7,719.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.