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Finding the Fourth Proportional to 10,476.99, 14,453.37 and 6,496.65

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Solution

The fourth proportional to 10,476.99, 14,453.37 and 6,496.65 is: 8,962.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.99 : 14,453.37 = 6,496.65 : x
  2. Step 2: Convert to fraction form
    10,476.99/14,453.37 = 6,496.65/x
  3. Step 3: Cross multiply
    10,476.99x = 14,453.37 × 6,496.65
  4. Step 4: Simplify right side
    10,476.99x = 93,898,486.21
  5. Step 5: Solve for x
    x = 93,898,486.21/10,476.99
  6. Step 6: Final answer
    x = 8,962.35

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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.