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Finding the Fourth Proportional to 10,973.26, 15,142.98 and 6,257.62

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Solution

The fourth proportional to 10,973.26, 15,142.98 and 6,257.62 is: 8,635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.26 : 15,142.98 = 6,257.62 : x
  2. Step 2: Convert to fraction form
    10,973.26/15,142.98 = 6,257.62/x
  3. Step 3: Cross multiply
    10,973.26x = 15,142.98 × 6,257.62
  4. Step 4: Simplify right side
    10,973.26x = 94,759,014.51
  5. Step 5: Solve for x
    x = 94,759,014.51/10,973.26
  6. Step 6: Final answer
    x = 8,635.45

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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.