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Finding the Fourth Proportional to 10,348.82, 14,298.10 and 7,218.98

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Solution

The fourth proportional to 10,348.82, 14,298.10 and 7,218.98 is: 9,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.82 : 14,298.10 = 7,218.98 : x
  2. Step 2: Convert to fraction form
    10,348.82/14,298.10 = 7,218.98/x
  3. Step 3: Cross multiply
    10,348.82x = 14,298.10 × 7,218.98
  4. Step 4: Simplify right side
    10,348.82x = 103,217,697.94
  5. Step 5: Solve for x
    x = 103,217,697.94/10,348.82
  6. Step 6: Final answer
    x = 9,973.86

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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.