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Finding the Fourth Proportional to 8,237.64, 11,360.40 and 7,047.12

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Solution

The fourth proportional to 8,237.64, 11,360.40 and 7,047.12 is: 9,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.64 : 11,360.40 = 7,047.12 : x
  2. Step 2: Convert to fraction form
    8,237.64/11,360.40 = 7,047.12/x
  3. Step 3: Cross multiply
    8,237.64x = 11,360.40 × 7,047.12
  4. Step 4: Simplify right side
    8,237.64x = 80,058,102.05
  5. Step 5: Solve for x
    x = 80,058,102.05/8,237.64
  6. Step 6: Final answer
    x = 9,718.57

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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.