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Finding the Fourth Proportional to 8,301.47, 11,455.85 and 4,575.47

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Solution

The fourth proportional to 8,301.47, 11,455.85 and 4,575.47 is: 6,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.47 : 11,455.85 = 4,575.47 : x
  2. Step 2: Convert to fraction form
    8,301.47/11,455.85 = 4,575.47/x
  3. Step 3: Cross multiply
    8,301.47x = 11,455.85 × 4,575.47
  4. Step 4: Simplify right side
    8,301.47x = 52,415,852.16
  5. Step 5: Solve for x
    x = 52,415,852.16/8,301.47
  6. Step 6: Final answer
    x = 6,314.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.