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Finding the Fourth Proportional to 7,656.40, 11,484.65 and 2,726.23

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Solution

The fourth proportional to 7,656.40, 11,484.65 and 2,726.23 is: 4,089.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.40 : 11,484.65 = 2,726.23 : x
  2. Step 2: Convert to fraction form
    7,656.40/11,484.65 = 2,726.23/x
  3. Step 3: Cross multiply
    7,656.40x = 11,484.65 × 2,726.23
  4. Step 4: Simplify right side
    7,656.40x = 31,309,783.74
  5. Step 5: Solve for x
    x = 31,309,783.74/7,656.40
  6. Step 6: Final answer
    x = 4,089.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.