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Finding the Fourth Proportional to 10,433.88, 14,398.74 and 5,653.83

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Solution

The fourth proportional to 10,433.88, 14,398.74 and 5,653.83 is: 7,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.88 : 14,398.74 = 5,653.83 : x
  2. Step 2: Convert to fraction form
    10,433.88/14,398.74 = 5,653.83/x
  3. Step 3: Cross multiply
    10,433.88x = 14,398.74 × 5,653.83
  4. Step 4: Simplify right side
    10,433.88x = 81,408,028.17
  5. Step 5: Solve for x
    x = 81,408,028.17/10,433.88
  6. Step 6: Final answer
    x = 7,802.28

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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.