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Finding the Fourth Proportional to 10,552.34, 15,828.07 and 2,760.98

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Solution

The fourth proportional to 10,552.34, 15,828.07 and 2,760.98 is: 4,141.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.34 : 15,828.07 = 2,760.98 : x
  2. Step 2: Convert to fraction form
    10,552.34/15,828.07 = 2,760.98/x
  3. Step 3: Cross multiply
    10,552.34x = 15,828.07 × 2,760.98
  4. Step 4: Simplify right side
    10,552.34x = 43,700,984.71
  5. Step 5: Solve for x
    x = 43,700,984.71/10,552.34
  6. Step 6: Final answer
    x = 4,141.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.