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Finding the Fourth Proportional to 10,455.75, 14,428.53 and 5,980.10

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Solution

The fourth proportional to 10,455.75, 14,428.53 and 5,980.10 is: 8,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.75 : 14,428.53 = 5,980.10 : x
  2. Step 2: Convert to fraction form
    10,455.75/14,428.53 = 5,980.10/x
  3. Step 3: Cross multiply
    10,455.75x = 14,428.53 × 5,980.10
  4. Step 4: Simplify right side
    10,455.75x = 86,283,980.11
  5. Step 5: Solve for x
    x = 86,283,980.11/10,455.75
  6. Step 6: Final answer
    x = 8,252.30

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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.