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Finding the Fourth Proportional to 10,037.59, 13,852.35 and 5,789.29

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Solution

The fourth proportional to 10,037.59, 13,852.35 and 5,789.29 is: 7,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.59 : 13,852.35 = 5,789.29 : x
  2. Step 2: Convert to fraction form
    10,037.59/13,852.35 = 5,789.29/x
  3. Step 3: Cross multiply
    10,037.59x = 13,852.35 × 5,789.29
  4. Step 4: Simplify right side
    10,037.59x = 80,195,271.33
  5. Step 5: Solve for x
    x = 80,195,271.33/10,037.59
  6. Step 6: Final answer
    x = 7,989.49

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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.