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Finding the Fourth Proportional to 10,752, 16,131.84 and 5,283.84

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Solution

The fourth proportional to 10,752, 16,131.84 and 5,283.84 is: 7,927.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752 : 16,131.84 = 5,283.84 : x
  2. Step 2: Convert to fraction form
    10,752/16,131.84 = 5,283.84/x
  3. Step 3: Cross multiply
    10,752x = 16,131.84 × 5,283.84
  4. Step 4: Simplify right side
    10,752x = 85,238,061.47
  5. Step 5: Solve for x
    x = 85,238,061.47/10,752
  6. Step 6: Final answer
    x = 7,927.65

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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.