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Finding the Fourth Proportional to 7,284.36, 10,057.16 and 5,602.66

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Solution

The fourth proportional to 7,284.36, 10,057.16 and 5,602.66 is: 7,735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.36 : 10,057.16 = 5,602.66 : x
  2. Step 2: Convert to fraction form
    7,284.36/10,057.16 = 5,602.66/x
  3. Step 3: Cross multiply
    7,284.36x = 10,057.16 × 5,602.66
  4. Step 4: Simplify right side
    7,284.36x = 56,346,848.05
  5. Step 5: Solve for x
    x = 56,346,848.05/7,284.36
  6. Step 6: Final answer
    x = 7,735.32

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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.