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Finding the Fourth Proportional to 10,486.16, 15,714.08 and 7,890.96

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Solution

The fourth proportional to 10,486.16, 15,714.08 and 7,890.96 is: 11,825.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.16 : 15,714.08 = 7,890.96 : x
  2. Step 2: Convert to fraction form
    10,486.16/15,714.08 = 7,890.96/x
  3. Step 3: Cross multiply
    10,486.16x = 15,714.08 × 7,890.96
  4. Step 4: Simplify right side
    10,486.16x = 123,999,176.72
  5. Step 5: Solve for x
    x = 123,999,176.72/10,486.16
  6. Step 6: Final answer
    x = 11,825.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.