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Finding the Fourth Proportional to 8,705.36, 12,009.16 and 5,166.06

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Solution

The fourth proportional to 8,705.36, 12,009.16 and 5,166.06 is: 7,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.36 : 12,009.16 = 5,166.06 : x
  2. Step 2: Convert to fraction form
    8,705.36/12,009.16 = 5,166.06/x
  3. Step 3: Cross multiply
    8,705.36x = 12,009.16 × 5,166.06
  4. Step 4: Simplify right side
    8,705.36x = 62,040,041.11
  5. Step 5: Solve for x
    x = 62,040,041.11/8,705.36
  6. Step 6: Final answer
    x = 7,126.65

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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.