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Finding the Fourth Proportional to 10,477.84, 15,726.63 and 3,820.77

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Solution

The fourth proportional to 10,477.84, 15,726.63 and 3,820.77 is: 5,734.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.84 : 15,726.63 = 3,820.77 : x
  2. Step 2: Convert to fraction form
    10,477.84/15,726.63 = 3,820.77/x
  3. Step 3: Cross multiply
    10,477.84x = 15,726.63 × 3,820.77
  4. Step 4: Simplify right side
    10,477.84x = 60,087,817.00
  5. Step 5: Solve for x
    x = 60,087,817.00/10,477.84
  6. Step 6: Final answer
    x = 5,734.75

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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.