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Finding the Fourth Proportional to 10,533.78, 14,536.74 and 5,818.05

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Solution

The fourth proportional to 10,533.78, 14,536.74 and 5,818.05 is: 8,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.78 : 14,536.74 = 5,818.05 : x
  2. Step 2: Convert to fraction form
    10,533.78/14,536.74 = 5,818.05/x
  3. Step 3: Cross multiply
    10,533.78x = 14,536.74 × 5,818.05
  4. Step 4: Simplify right side
    10,533.78x = 84,575,480.16
  5. Step 5: Solve for x
    x = 84,575,480.16/10,533.78
  6. Step 6: Final answer
    x = 8,028.98

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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.