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Finding the Fourth Proportional to 11,645.75, 16,075.19 and 6,929.93

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Solution

The fourth proportional to 11,645.75, 16,075.19 and 6,929.93 is: 9,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.75 : 16,075.19 = 6,929.93 : x
  2. Step 2: Convert to fraction form
    11,645.75/16,075.19 = 6,929.93/x
  3. Step 3: Cross multiply
    11,645.75x = 16,075.19 × 6,929.93
  4. Step 4: Simplify right side
    11,645.75x = 111,399,941.44
  5. Step 5: Solve for x
    x = 111,399,941.44/11,645.75
  6. Step 6: Final answer
    x = 9,565.72

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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.