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Finding the Fourth Proportional to 7,007.94, 10,460.64 and 6,177.60

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Solution

The fourth proportional to 7,007.94, 10,460.64 and 6,177.60 is: 9,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.94 : 10,460.64 = 6,177.60 : x
  2. Step 2: Convert to fraction form
    7,007.94/10,460.64 = 6,177.60/x
  3. Step 3: Cross multiply
    7,007.94x = 10,460.64 × 6,177.60
  4. Step 4: Simplify right side
    7,007.94x = 64,621,649.66
  5. Step 5: Solve for x
    x = 64,621,649.66/7,007.94
  6. Step 6: Final answer
    x = 9,221.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.