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Finding the Fourth Proportional to 10,473.70, 15,715.67 and 4,927.60

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Solution

The fourth proportional to 10,473.70, 15,715.67 and 4,927.60 is: 7,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.70 : 15,715.67 = 4,927.60 : x
  2. Step 2: Convert to fraction form
    10,473.70/15,715.67 = 4,927.60/x
  3. Step 3: Cross multiply
    10,473.70x = 15,715.67 × 4,927.60
  4. Step 4: Simplify right side
    10,473.70x = 77,440,535.49
  5. Step 5: Solve for x
    x = 77,440,535.49/10,473.70
  6. Step 6: Final answer
    x = 7,393.81

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Why These Related Problems?

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