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Finding the Fourth Proportional to 13,376.72, 18,461.64 and 7,711.28

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Solution

The fourth proportional to 13,376.72, 18,461.64 and 7,711.28 is: 10,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376.72 : 18,461.64 = 7,711.28 : x
  2. Step 2: Convert to fraction form
    13,376.72/18,461.64 = 7,711.28/x
  3. Step 3: Cross multiply
    13,376.72x = 18,461.64 × 7,711.28
  4. Step 4: Simplify right side
    13,376.72x = 142,362,875.30
  5. Step 5: Solve for x
    x = 142,362,875.30/13,376.72
  6. Step 6: Final answer
    x = 10,642.58

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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.