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Finding the Fourth Proportional to 7,421.32, 10,242.75 and 5,542.32

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Solution

The fourth proportional to 7,421.32, 10,242.75 and 5,542.32 is: 7,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,421.32 : 10,242.75 = 5,542.32 : x
  2. Step 2: Convert to fraction form
    7,421.32/10,242.75 = 5,542.32/x
  3. Step 3: Cross multiply
    7,421.32x = 10,242.75 × 5,542.32
  4. Step 4: Simplify right side
    7,421.32x = 56,768,657.37
  5. Step 5: Solve for x
    x = 56,768,657.37/7,421.32
  6. Step 6: Final answer
    x = 7,649.40

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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.