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Finding the Fourth Proportional to 10,483.21, 14,466.82 and 5,767.45

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Solution

The fourth proportional to 10,483.21, 14,466.82 and 5,767.45 is: 7,959.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.21 : 14,466.82 = 5,767.45 : x
  2. Step 2: Convert to fraction form
    10,483.21/14,466.82 = 5,767.45/x
  3. Step 3: Cross multiply
    10,483.21x = 14,466.82 × 5,767.45
  4. Step 4: Simplify right side
    10,483.21x = 83,436,682.76
  5. Step 5: Solve for x
    x = 83,436,682.76/10,483.21
  6. Step 6: Final answer
    x = 7,959.08

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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.