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Finding the Fourth Proportional to 6,671.60, 10,009.04 and 2,289.12

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Solution

The fourth proportional to 6,671.60, 10,009.04 and 2,289.12 is: 3,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.60 : 10,009.04 = 2,289.12 : x
  2. Step 2: Convert to fraction form
    6,671.60/10,009.04 = 2,289.12/x
  3. Step 3: Cross multiply
    6,671.60x = 10,009.04 × 2,289.12
  4. Step 4: Simplify right side
    6,671.60x = 22,911,893.64
  5. Step 5: Solve for x
    x = 22,911,893.64/6,671.60
  6. Step 6: Final answer
    x = 3,434.24

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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.