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Finding the Fourth Proportional to 10,475.94, 15,714.90 and 3,453.06

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Solution

The fourth proportional to 10,475.94, 15,714.90 and 3,453.06 is: 5,179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.94 : 15,714.90 = 3,453.06 : x
  2. Step 2: Convert to fraction form
    10,475.94/15,714.90 = 3,453.06/x
  3. Step 3: Cross multiply
    10,475.94x = 15,714.90 × 3,453.06
  4. Step 4: Simplify right side
    10,475.94x = 54,264,492.59
  5. Step 5: Solve for x
    x = 54,264,492.59/10,475.94
  6. Step 6: Final answer
    x = 5,179.92

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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.