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Finding the Fourth Proportional to 10,256.88, 15,373.17 and 4,705.59

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Solution

The fourth proportional to 10,256.88, 15,373.17 and 4,705.59 is: 7,052.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.88 : 15,373.17 = 4,705.59 : x
  2. Step 2: Convert to fraction form
    10,256.88/15,373.17 = 4,705.59/x
  3. Step 3: Cross multiply
    10,256.88x = 15,373.17 × 4,705.59
  4. Step 4: Simplify right side
    10,256.88x = 72,339,835.02
  5. Step 5: Solve for x
    x = 72,339,835.02/10,256.88
  6. Step 6: Final answer
    x = 7,052.81

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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.