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Finding the Fourth Proportional to 11,460.76, 15,808.17 and 7,482.85

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Solution

The fourth proportional to 11,460.76, 15,808.17 and 7,482.85 is: 10,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.76 : 15,808.17 = 7,482.85 : x
  2. Step 2: Convert to fraction form
    11,460.76/15,808.17 = 7,482.85/x
  3. Step 3: Cross multiply
    11,460.76x = 15,808.17 × 7,482.85
  4. Step 4: Simplify right side
    11,460.76x = 118,290,164.88
  5. Step 5: Solve for x
    x = 118,290,164.88/11,460.76
  6. Step 6: Final answer
    x = 10,321.32

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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.