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Finding the Fourth Proportional to 11,853.10, 17,779.54 and 4,831.47

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Solution

The fourth proportional to 11,853.10, 17,779.54 and 4,831.47 is: 7,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.10 : 17,779.54 = 4,831.47 : x
  2. Step 2: Convert to fraction form
    11,853.10/17,779.54 = 4,831.47/x
  3. Step 3: Cross multiply
    11,853.10x = 17,779.54 × 4,831.47
  4. Step 4: Simplify right side
    11,853.10x = 85,901,314.12
  5. Step 5: Solve for x
    x = 85,901,314.12/11,853.10
  6. Step 6: Final answer
    x = 7,247.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.