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Finding the Fourth Proportional to 7,703.07, 10,632.96 and 4,559.25

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Solution

The fourth proportional to 7,703.07, 10,632.96 and 4,559.25 is: 6,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.07 : 10,632.96 = 4,559.25 : x
  2. Step 2: Convert to fraction form
    7,703.07/10,632.96 = 4,559.25/x
  3. Step 3: Cross multiply
    7,703.07x = 10,632.96 × 4,559.25
  4. Step 4: Simplify right side
    7,703.07x = 48,478,322.88
  5. Step 5: Solve for x
    x = 48,478,322.88/7,703.07
  6. Step 6: Final answer
    x = 6,293.38

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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.