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Finding the Fourth Proportional to 10,855.41, 14,980.51 and 6,140.60

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Solution

The fourth proportional to 10,855.41, 14,980.51 and 6,140.60 is: 8,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.41 : 14,980.51 = 6,140.60 : x
  2. Step 2: Convert to fraction form
    10,855.41/14,980.51 = 6,140.60/x
  3. Step 3: Cross multiply
    10,855.41x = 14,980.51 × 6,140.60
  4. Step 4: Simplify right side
    10,855.41x = 91,989,319.71
  5. Step 5: Solve for x
    x = 91,989,319.71/10,855.41
  6. Step 6: Final answer
    x = 8,474.05

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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.