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Finding the Fourth Proportional to 10,496.99, 14,461.20 and 7,304.80

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Solution

The fourth proportional to 10,496.99, 14,461.20 and 7,304.80 is: 10,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.99 : 14,461.20 = 7,304.80 : x
  2. Step 2: Convert to fraction form
    10,496.99/14,461.20 = 7,304.80/x
  3. Step 3: Cross multiply
    10,496.99x = 14,461.20 × 7,304.80
  4. Step 4: Simplify right side
    10,496.99x = 105,636,173.76
  5. Step 5: Solve for x
    x = 105,636,173.76/10,496.99
  6. Step 6: Final answer
    x = 10,063.47

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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.