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Finding the Fourth Proportional to 11,482.16, 15,851.41 and 7,725.08

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Solution

The fourth proportional to 11,482.16, 15,851.41 and 7,725.08 is: 10,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.16 : 15,851.41 = 7,725.08 : x
  2. Step 2: Convert to fraction form
    11,482.16/15,851.41 = 7,725.08/x
  3. Step 3: Cross multiply
    11,482.16x = 15,851.41 × 7,725.08
  4. Step 4: Simplify right side
    11,482.16x = 122,453,430.68
  5. Step 5: Solve for x
    x = 122,453,430.68/11,482.16
  6. Step 6: Final answer
    x = 10,664.67

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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.