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Finding the Fourth Proportional to 10,550.33, 15,827.63 and 4,706.94

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Solution

The fourth proportional to 10,550.33, 15,827.63 and 4,706.94 is: 7,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.33 : 15,827.63 = 4,706.94 : x
  2. Step 2: Convert to fraction form
    10,550.33/15,827.63 = 4,706.94/x
  3. Step 3: Cross multiply
    10,550.33x = 15,827.63 × 4,706.94
  4. Step 4: Simplify right side
    10,550.33x = 74,499,681.22
  5. Step 5: Solve for x
    x = 74,499,681.22/10,550.33
  6. Step 6: Final answer
    x = 7,061.36

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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.