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Finding the Fourth Proportional to 8,374.64, 11,557.00 and 4,837.85

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Solution

The fourth proportional to 8,374.64, 11,557.00 and 4,837.85 is: 6,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.64 : 11,557.00 = 4,837.85 : x
  2. Step 2: Convert to fraction form
    8,374.64/11,557.00 = 4,837.85/x
  3. Step 3: Cross multiply
    8,374.64x = 11,557.00 × 4,837.85
  4. Step 4: Simplify right side
    8,374.64x = 55,911,070.16
  5. Step 5: Solve for x
    x = 55,911,070.16/8,374.64
  6. Step 6: Final answer
    x = 6,676.24

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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.