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Finding the Fourth Proportional to 10,038.50, 13,852.92 and 5,562.24

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Solution

The fourth proportional to 10,038.50, 13,852.92 and 5,562.24 is: 7,675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.50 : 13,852.92 = 5,562.24 : x
  2. Step 2: Convert to fraction form
    10,038.50/13,852.92 = 5,562.24/x
  3. Step 3: Cross multiply
    10,038.50x = 13,852.92 × 5,562.24
  4. Step 4: Simplify right side
    10,038.50x = 77,053,234.65
  5. Step 5: Solve for x
    x = 77,053,234.65/10,038.50
  6. Step 6: Final answer
    x = 7,675.77

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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.