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Finding the Fourth Proportional to 10,008.98, 13,838.64 and 8,329.76

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Solution

The fourth proportional to 10,008.98, 13,838.64 and 8,329.76 is: 11,516.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.98 : 13,838.64 = 8,329.76 : x
  2. Step 2: Convert to fraction form
    10,008.98/13,838.64 = 8,329.76/x
  3. Step 3: Cross multiply
    10,008.98x = 13,838.64 × 8,329.76
  4. Step 4: Simplify right side
    10,008.98x = 115,272,549.93
  5. Step 5: Solve for x
    x = 115,272,549.93/10,008.98
  6. Step 6: Final answer
    x = 11,516.91

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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.