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Finding the Fourth Proportional to 11,322.88, 15,623.76 and 7,128.16

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Solution

The fourth proportional to 11,322.88, 15,623.76 and 7,128.16 is: 9,835.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322.88 : 15,623.76 = 7,128.16 : x
  2. Step 2: Convert to fraction form
    11,322.88/15,623.76 = 7,128.16/x
  3. Step 3: Cross multiply
    11,322.88x = 15,623.76 × 7,128.16
  4. Step 4: Simplify right side
    11,322.88x = 111,368,661.08
  5. Step 5: Solve for x
    x = 111,368,661.08/11,322.88
  6. Step 6: Final answer
    x = 9,835.72

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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.