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Finding the Fourth Proportional to 10,504.69, 14,496.47 and 6,312.94

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Solution

The fourth proportional to 10,504.69, 14,496.47 and 6,312.94 is: 8,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.69 : 14,496.47 = 6,312.94 : x
  2. Step 2: Convert to fraction form
    10,504.69/14,496.47 = 6,312.94/x
  3. Step 3: Cross multiply
    10,504.69x = 14,496.47 × 6,312.94
  4. Step 4: Simplify right side
    10,504.69x = 91,515,301.19
  5. Step 5: Solve for x
    x = 91,515,301.19/10,504.69
  6. Step 6: Final answer
    x = 8,711.85

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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.