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Finding the Fourth Proportional to 7,827.36, 10,774.80 and 6,831.06

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Solution

The fourth proportional to 7,827.36, 10,774.80 and 6,831.06 is: 9,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.36 : 10,774.80 = 6,831.06 : x
  2. Step 2: Convert to fraction form
    7,827.36/10,774.80 = 6,831.06/x
  3. Step 3: Cross multiply
    7,827.36x = 10,774.80 × 6,831.06
  4. Step 4: Simplify right side
    7,827.36x = 73,603,305.29
  5. Step 5: Solve for x
    x = 73,603,305.29/7,827.36
  6. Step 6: Final answer
    x = 9,403.34

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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.