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Finding the Fourth Proportional to 12,886.04, 17,783.46 and 7,295.96

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Solution

The fourth proportional to 12,886.04, 17,783.46 and 7,295.96 is: 10,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.04 : 17,783.46 = 7,295.96 : x
  2. Step 2: Convert to fraction form
    12,886.04/17,783.46 = 7,295.96/x
  3. Step 3: Cross multiply
    12,886.04x = 17,783.46 × 7,295.96
  4. Step 4: Simplify right side
    12,886.04x = 129,747,412.82
  5. Step 5: Solve for x
    x = 129,747,412.82/12,886.04
  6. Step 6: Final answer
    x = 10,068.84

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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.