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Finding the Fourth Proportional to 10,013.29, 13,813.74 and 6,477.64

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Solution

The fourth proportional to 10,013.29, 13,813.74 and 6,477.64 is: 8,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.29 : 13,813.74 = 6,477.64 : x
  2. Step 2: Convert to fraction form
    10,013.29/13,813.74 = 6,477.64/x
  3. Step 3: Cross multiply
    10,013.29x = 13,813.74 × 6,477.64
  4. Step 4: Simplify right side
    10,013.29x = 89,480,434.77
  5. Step 5: Solve for x
    x = 89,480,434.77/10,013.29
  6. Step 6: Final answer
    x = 8,936.17

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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.