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Finding the Fourth Proportional to 11,431.16, 15,774.16 and 6,714.80

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Solution

The fourth proportional to 11,431.16, 15,774.16 and 6,714.80 is: 9,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.16 : 15,774.16 = 6,714.80 : x
  2. Step 2: Convert to fraction form
    11,431.16/15,774.16 = 6,714.80/x
  3. Step 3: Cross multiply
    11,431.16x = 15,774.16 × 6,714.80
  4. Step 4: Simplify right side
    11,431.16x = 105,920,329.57
  5. Step 5: Solve for x
    x = 105,920,329.57/11,431.16
  6. Step 6: Final answer
    x = 9,265.93

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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.