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Finding the Fourth Proportional to 7,053.75, 10,558.29 and 4,964.07

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Solution

The fourth proportional to 7,053.75, 10,558.29 and 4,964.07 is: 7,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.75 : 10,558.29 = 4,964.07 : x
  2. Step 2: Convert to fraction form
    7,053.75/10,558.29 = 4,964.07/x
  3. Step 3: Cross multiply
    7,053.75x = 10,558.29 × 4,964.07
  4. Step 4: Simplify right side
    7,053.75x = 52,412,090.64
  5. Step 5: Solve for x
    x = 52,412,090.64/7,053.75
  6. Step 6: Final answer
    x = 7,430.39

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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.