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Finding the Fourth Proportional to 6,140.40, 8,478.48 and 4,966.80

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Solution

The fourth proportional to 6,140.40, 8,478.48 and 4,966.80 is: 6,858.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.40 : 8,478.48 = 4,966.80 : x
  2. Step 2: Convert to fraction form
    6,140.40/8,478.48 = 4,966.80/x
  3. Step 3: Cross multiply
    6,140.40x = 8,478.48 × 4,966.80
  4. Step 4: Simplify right side
    6,140.40x = 42,110,914.46
  5. Step 5: Solve for x
    x = 42,110,914.46/6,140.40
  6. Step 6: Final answer
    x = 6,858.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.