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Finding the Fourth Proportional to 11,482.32, 15,838.20 and 7,895.64

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Solution

The fourth proportional to 11,482.32, 15,838.20 and 7,895.64 is: 10,890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.32 : 15,838.20 = 7,895.64 : x
  2. Step 2: Convert to fraction form
    11,482.32/15,838.20 = 7,895.64/x
  3. Step 3: Cross multiply
    11,482.32x = 15,838.20 × 7,895.64
  4. Step 4: Simplify right side
    11,482.32x = 125,052,725.45
  5. Step 5: Solve for x
    x = 125,052,725.45/11,482.32
  6. Step 6: Final answer
    x = 10,890.89

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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.