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Finding the Fourth Proportional to 10,530.80, 14,533.10 and 5,751.19

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Solution

The fourth proportional to 10,530.80, 14,533.10 and 5,751.19 is: 7,936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.80 : 14,533.10 = 5,751.19 : x
  2. Step 2: Convert to fraction form
    10,530.80/14,533.10 = 5,751.19/x
  3. Step 3: Cross multiply
    10,530.80x = 14,533.10 × 5,751.19
  4. Step 4: Simplify right side
    10,530.80x = 83,582,554.30
  5. Step 5: Solve for x
    x = 83,582,554.30/10,530.80
  6. Step 6: Final answer
    x = 7,936.96

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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.