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Finding the Fourth Proportional to 8,411.64, 11,607.64 and 4,875.96

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Solution

The fourth proportional to 8,411.64, 11,607.64 and 4,875.96 is: 6,728.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.64 : 11,607.64 = 4,875.96 : x
  2. Step 2: Convert to fraction form
    8,411.64/11,607.64 = 4,875.96/x
  3. Step 3: Cross multiply
    8,411.64x = 11,607.64 × 4,875.96
  4. Step 4: Simplify right side
    8,411.64x = 56,598,388.33
  5. Step 5: Solve for x
    x = 56,598,388.33/8,411.64
  6. Step 6: Final answer
    x = 6,728.58

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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.