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Finding the Fourth Proportional to 10,907.66, 16,360.79 and 6,521.72

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Solution

The fourth proportional to 10,907.66, 16,360.79 and 6,521.72 is: 9,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.66 : 16,360.79 = 6,521.72 : x
  2. Step 2: Convert to fraction form
    10,907.66/16,360.79 = 6,521.72/x
  3. Step 3: Cross multiply
    10,907.66x = 16,360.79 × 6,521.72
  4. Step 4: Simplify right side
    10,907.66x = 106,700,376.95
  5. Step 5: Solve for x
    x = 106,700,376.95/10,907.66
  6. Step 6: Final answer
    x = 9,782.15

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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.