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Finding the Fourth Proportional to 10,530.21, 14,533.97 and 7,181.02

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Solution

The fourth proportional to 10,530.21, 14,533.97 and 7,181.02 is: 9,911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.21 : 14,533.97 = 7,181.02 : x
  2. Step 2: Convert to fraction form
    10,530.21/14,533.97 = 7,181.02/x
  3. Step 3: Cross multiply
    10,530.21x = 14,533.97 × 7,181.02
  4. Step 4: Simplify right side
    10,530.21x = 104,368,657.01
  5. Step 5: Solve for x
    x = 104,368,657.01/10,530.21
  6. Step 6: Final answer
    x = 9,911.36

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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.