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Finding the Fourth Proportional to 8,303, 11,458.32 and 4,577

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Solution

The fourth proportional to 8,303, 11,458.32 and 4,577 is: 6,316.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303 : 11,458.32 = 4,577 : x
  2. Step 2: Convert to fraction form
    8,303/11,458.32 = 4,577/x
  3. Step 3: Cross multiply
    8,303x = 11,458.32 × 4,577
  4. Step 4: Simplify right side
    8,303x = 52,444,730.64
  5. Step 5: Solve for x
    x = 52,444,730.64/8,303
  6. Step 6: Final answer
    x = 6,316.36

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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.