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Finding the Fourth Proportional to 6,671.64, 10,005.60 and 2,775.18

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Solution

The fourth proportional to 6,671.64, 10,005.60 and 2,775.18 is: 4,162.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.64 : 10,005.60 = 2,775.18 : x
  2. Step 2: Convert to fraction form
    6,671.64/10,005.60 = 2,775.18/x
  3. Step 3: Cross multiply
    6,671.64x = 10,005.60 × 2,775.18
  4. Step 4: Simplify right side
    6,671.64x = 27,767,341.01
  5. Step 5: Solve for x
    x = 27,767,341.01/6,671.64
  6. Step 6: Final answer
    x = 4,162.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.