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Finding the Fourth Proportional to 10,279.64, 15,345.11 and 9,034.13

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Solution

The fourth proportional to 10,279.64, 15,345.11 and 9,034.13 is: 13,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.64 : 15,345.11 = 9,034.13 : x
  2. Step 2: Convert to fraction form
    10,279.64/15,345.11 = 9,034.13/x
  3. Step 3: Cross multiply
    10,279.64x = 15,345.11 × 9,034.13
  4. Step 4: Simplify right side
    10,279.64x = 138,629,779.55
  5. Step 5: Solve for x
    x = 138,629,779.55/10,279.64
  6. Step 6: Final answer
    x = 13,485.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.