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Finding the Fourth Proportional to 10,533.72, 14,536.08 and 6,057.12

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Solution

The fourth proportional to 10,533.72, 14,536.08 and 6,057.12 is: 8,358.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.72 : 14,536.08 = 6,057.12 : x
  2. Step 2: Convert to fraction form
    10,533.72/14,536.08 = 6,057.12/x
  3. Step 3: Cross multiply
    10,533.72x = 14,536.08 × 6,057.12
  4. Step 4: Simplify right side
    10,533.72x = 88,046,780.89
  5. Step 5: Solve for x
    x = 88,046,780.89/10,533.72
  6. Step 6: Final answer
    x = 8,358.56

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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.