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Finding the Fourth Proportional to 10,698.75, 16,047 and 3,303.45

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Solution

The fourth proportional to 10,698.75, 16,047 and 3,303.45 is: 4,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.75 : 16,047 = 3,303.45 : x
  2. Step 2: Convert to fraction form
    10,698.75/16,047 = 3,303.45/x
  3. Step 3: Cross multiply
    10,698.75x = 16,047 × 3,303.45
  4. Step 4: Simplify right side
    10,698.75x = 53,010,462.15
  5. Step 5: Solve for x
    x = 53,010,462.15/10,698.75
  6. Step 6: Final answer
    x = 4,954.83

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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.