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Finding the Fourth Proportional to 7,053.80, 9,712 and 5,369.80

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Solution

The fourth proportional to 7,053.80, 9,712 and 5,369.80 is: 7,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.80 : 9,712 = 5,369.80 : x
  2. Step 2: Convert to fraction form
    7,053.80/9,712 = 5,369.80/x
  3. Step 3: Cross multiply
    7,053.80x = 9,712 × 5,369.80
  4. Step 4: Simplify right side
    7,053.80x = 52,151,497.60
  5. Step 5: Solve for x
    x = 52,151,497.60/7,053.80
  6. Step 6: Final answer
    x = 7,393.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.