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Finding the Fourth Proportional to 12,346.62, 17,038.11 and 7,040.41

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Solution

The fourth proportional to 12,346.62, 17,038.11 and 7,040.41 is: 9,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.62 : 17,038.11 = 7,040.41 : x
  2. Step 2: Convert to fraction form
    12,346.62/17,038.11 = 7,040.41/x
  3. Step 3: Cross multiply
    12,346.62x = 17,038.11 × 7,040.41
  4. Step 4: Simplify right side
    12,346.62x = 119,955,280.03
  5. Step 5: Solve for x
    x = 119,955,280.03/12,346.62
  6. Step 6: Final answer
    x = 9,715.64

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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.