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Finding the Fourth Proportional to 10,270.88, 15,404.64 and 4,724

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Solution

The fourth proportional to 10,270.88, 15,404.64 and 4,724 is: 7,085.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.88 : 15,404.64 = 4,724 : x
  2. Step 2: Convert to fraction form
    10,270.88/15,404.64 = 4,724/x
  3. Step 3: Cross multiply
    10,270.88x = 15,404.64 × 4,724
  4. Step 4: Simplify right side
    10,270.88x = 72,771,519.36
  5. Step 5: Solve for x
    x = 72,771,519.36/10,270.88
  6. Step 6: Final answer
    x = 7,085.23

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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.