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Finding the Fourth Proportional to 7,107.60, 10,661.40 and 6,014.10

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Solution

The fourth proportional to 7,107.60, 10,661.40 and 6,014.10 is: 9,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.60 : 10,661.40 = 6,014.10 : x
  2. Step 2: Convert to fraction form
    7,107.60/10,661.40 = 6,014.10/x
  3. Step 3: Cross multiply
    7,107.60x = 10,661.40 × 6,014.10
  4. Step 4: Simplify right side
    7,107.60x = 64,118,725.74
  5. Step 5: Solve for x
    x = 64,118,725.74/7,107.60
  6. Step 6: Final answer
    x = 9,021.15

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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.