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Finding the Fourth Proportional to 10,671.66, 16,009.55 and 4,097.34

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Solution

The fourth proportional to 10,671.66, 16,009.55 and 4,097.34 is: 6,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.66 : 16,009.55 = 4,097.34 : x
  2. Step 2: Convert to fraction form
    10,671.66/16,009.55 = 4,097.34/x
  3. Step 3: Cross multiply
    10,671.66x = 16,009.55 × 4,097.34
  4. Step 4: Simplify right side
    10,671.66x = 65,596,569.60
  5. Step 5: Solve for x
    x = 65,596,569.60/10,671.66
  6. Step 6: Final answer
    x = 6,146.80

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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.