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Finding the Fourth Proportional to 12,586.06, 17,364.44 and 7,804.28

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Solution

The fourth proportional to 12,586.06, 17,364.44 and 7,804.28 is: 10,767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.06 : 17,364.44 = 7,804.28 : x
  2. Step 2: Convert to fraction form
    12,586.06/17,364.44 = 7,804.28/x
  3. Step 3: Cross multiply
    12,586.06x = 17,364.44 × 7,804.28
  4. Step 4: Simplify right side
    12,586.06x = 135,516,985.46
  5. Step 5: Solve for x
    x = 135,516,985.46/12,586.06
  6. Step 6: Final answer
    x = 10,767.23

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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.