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Finding the Fourth Proportional to 11,437.36, 15,779.97 and 6,400.90

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Solution

The fourth proportional to 11,437.36, 15,779.97 and 6,400.90 is: 8,831.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.36 : 15,779.97 = 6,400.90 : x
  2. Step 2: Convert to fraction form
    11,437.36/15,779.97 = 6,400.90/x
  3. Step 3: Cross multiply
    11,437.36x = 15,779.97 × 6,400.90
  4. Step 4: Simplify right side
    11,437.36x = 101,006,009.97
  5. Step 5: Solve for x
    x = 101,006,009.97/11,437.36
  6. Step 6: Final answer
    x = 8,831.23

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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.