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Finding the Fourth Proportional to 10,533.34, 14,530.89 and 6,992.02

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Solution

The fourth proportional to 10,533.34, 14,530.89 and 6,992.02 is: 9,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.34 : 14,530.89 = 6,992.02 : x
  2. Step 2: Convert to fraction form
    10,533.34/14,530.89 = 6,992.02/x
  3. Step 3: Cross multiply
    10,533.34x = 14,530.89 × 6,992.02
  4. Step 4: Simplify right side
    10,533.34x = 101,600,273.50
  5. Step 5: Solve for x
    x = 101,600,273.50/10,533.34
  6. Step 6: Final answer
    x = 9,645.59

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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.