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Finding the Fourth Proportional to 12,106.35, 16,707.74 and 6,802.47

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Solution

The fourth proportional to 12,106.35, 16,707.74 and 6,802.47 is: 9,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.35 : 16,707.74 = 6,802.47 : x
  2. Step 2: Convert to fraction form
    12,106.35/16,707.74 = 6,802.47/x
  3. Step 3: Cross multiply
    12,106.35x = 16,707.74 × 6,802.47
  4. Step 4: Simplify right side
    12,106.35x = 113,653,866.11
  5. Step 5: Solve for x
    x = 113,653,866.11/12,106.35
  6. Step 6: Final answer
    x = 9,387.95

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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.