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Finding the Fourth Proportional to 10,496.49, 14,460.51 and 7,304.30

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Solution

The fourth proportional to 10,496.49, 14,460.51 and 7,304.30 is: 10,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.49 : 14,460.51 = 7,304.30 : x
  2. Step 2: Convert to fraction form
    10,496.49/14,460.51 = 7,304.30/x
  3. Step 3: Cross multiply
    10,496.49x = 14,460.51 × 7,304.30
  4. Step 4: Simplify right side
    10,496.49x = 105,623,903.19
  5. Step 5: Solve for x
    x = 105,623,903.19/10,496.49
  6. Step 6: Final answer
    x = 10,062.78

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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.