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Finding the Fourth Proportional to 10,346.82, 14,295.34 and 7,216.98

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Solution

The fourth proportional to 10,346.82, 14,295.34 and 7,216.98 is: 9,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346.82 : 14,295.34 = 7,216.98 : x
  2. Step 2: Convert to fraction form
    10,346.82/14,295.34 = 7,216.98/x
  3. Step 3: Cross multiply
    10,346.82x = 14,295.34 × 7,216.98
  4. Step 4: Simplify right side
    10,346.82x = 103,169,182.87
  5. Step 5: Solve for x
    x = 103,169,182.87/10,346.82
  6. Step 6: Final answer
    x = 9,971.10

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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.