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Finding the Fourth Proportional to 11,358.84, 17,038.41 and 6,428.97

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Solution

The fourth proportional to 11,358.84, 17,038.41 and 6,428.97 is: 9,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.84 : 17,038.41 = 6,428.97 : x
  2. Step 2: Convert to fraction form
    11,358.84/17,038.41 = 6,428.97/x
  3. Step 3: Cross multiply
    11,358.84x = 17,038.41 × 6,428.97
  4. Step 4: Simplify right side
    11,358.84x = 109,539,426.74
  5. Step 5: Solve for x
    x = 109,539,426.74/11,358.84
  6. Step 6: Final answer
    x = 9,643.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.