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Finding the Fourth Proportional to 10,005.77, 13,800.17 and 7,093.98

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Solution

The fourth proportional to 10,005.77, 13,800.17 and 7,093.98 is: 9,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.77 : 13,800.17 = 7,093.98 : x
  2. Step 2: Convert to fraction form
    10,005.77/13,800.17 = 7,093.98/x
  3. Step 3: Cross multiply
    10,005.77x = 13,800.17 × 7,093.98
  4. Step 4: Simplify right side
    10,005.77x = 97,898,147.71
  5. Step 5: Solve for x
    x = 97,898,147.71/10,005.77
  6. Step 6: Final answer
    x = 9,784.17

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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.