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Finding the Fourth Proportional to 10,508.40, 14,456.88 and 10,216.80

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Solution

The fourth proportional to 10,508.40, 14,456.88 and 10,216.80 is: 14,055.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.40 : 14,456.88 = 10,216.80 : x
  2. Step 2: Convert to fraction form
    10,508.40/14,456.88 = 10,216.80/x
  3. Step 3: Cross multiply
    10,508.40x = 14,456.88 × 10,216.80
  4. Step 4: Simplify right side
    10,508.40x = 147,703,051.58
  5. Step 5: Solve for x
    x = 147,703,051.58/10,508.40
  6. Step 6: Final answer
    x = 14,055.71

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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.