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Finding the Fourth Proportional to 10,033.02, 13,841.85 and 6,498.18

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Solution

The fourth proportional to 10,033.02, 13,841.85 and 6,498.18 is: 8,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.02 : 13,841.85 = 6,498.18 : x
  2. Step 2: Convert to fraction form
    10,033.02/13,841.85 = 6,498.18/x
  3. Step 3: Cross multiply
    10,033.02x = 13,841.85 × 6,498.18
  4. Step 4: Simplify right side
    10,033.02x = 89,946,832.83
  5. Step 5: Solve for x
    x = 89,946,832.83/10,033.02
  6. Step 6: Final answer
    x = 8,965.08

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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.