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Finding the Fourth Proportional to 10,698.42, 16,048.74 and 2,802.18

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Solution

The fourth proportional to 10,698.42, 16,048.74 and 2,802.18 is: 4,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.42 : 16,048.74 = 2,802.18 : x
  2. Step 2: Convert to fraction form
    10,698.42/16,048.74 = 2,802.18/x
  3. Step 3: Cross multiply
    10,698.42x = 16,048.74 × 2,802.18
  4. Step 4: Simplify right side
    10,698.42x = 44,971,458.25
  5. Step 5: Solve for x
    x = 44,971,458.25/10,698.42
  6. Step 6: Final answer
    x = 4,203.56

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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.