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Finding the Fourth Proportional to 10,519.84, 14,518.16 and 6,804.64

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Solution

The fourth proportional to 10,519.84, 14,518.16 and 6,804.64 is: 9,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.84 : 14,518.16 = 6,804.64 : x
  2. Step 2: Convert to fraction form
    10,519.84/14,518.16 = 6,804.64/x
  3. Step 3: Cross multiply
    10,519.84x = 14,518.16 × 6,804.64
  4. Step 4: Simplify right side
    10,519.84x = 98,790,852.26
  5. Step 5: Solve for x
    x = 98,790,852.26/10,519.84
  6. Step 6: Final answer
    x = 9,390.91

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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.