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Finding the Fourth Proportional to 11,458.50, 15,810.33 and 6,743.30

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Solution

The fourth proportional to 11,458.50, 15,810.33 and 6,743.30 is: 9,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.50 : 15,810.33 = 6,743.30 : x
  2. Step 2: Convert to fraction form
    11,458.50/15,810.33 = 6,743.30/x
  3. Step 3: Cross multiply
    11,458.50x = 15,810.33 × 6,743.30
  4. Step 4: Simplify right side
    11,458.50x = 106,613,798.29
  5. Step 5: Solve for x
    x = 106,613,798.29/11,458.50
  6. Step 6: Final answer
    x = 9,304.34

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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.