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Finding the Fourth Proportional to 10,038.28, 13,852.20 and 5,562.22

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Solution

The fourth proportional to 10,038.28, 13,852.20 and 5,562.22 is: 7,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.28 : 13,852.20 = 5,562.22 : x
  2. Step 2: Convert to fraction form
    10,038.28/13,852.20 = 5,562.22/x
  3. Step 3: Cross multiply
    10,038.28x = 13,852.20 × 5,562.22
  4. Step 4: Simplify right side
    10,038.28x = 77,048,983.88
  5. Step 5: Solve for x
    x = 77,048,983.88/10,038.28
  6. Step 6: Final answer
    x = 7,675.52

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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.