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Finding the Fourth Proportional to 10,070.10, 13,896.03 and 5,594.04

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Solution

The fourth proportional to 10,070.10, 13,896.03 and 5,594.04 is: 7,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.10 : 13,896.03 = 5,594.04 : x
  2. Step 2: Convert to fraction form
    10,070.10/13,896.03 = 5,594.04/x
  3. Step 3: Cross multiply
    10,070.10x = 13,896.03 × 5,594.04
  4. Step 4: Simplify right side
    10,070.10x = 77,734,947.66
  5. Step 5: Solve for x
    x = 77,734,947.66/10,070.10
  6. Step 6: Final answer
    x = 7,719.38

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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.