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Finding the Fourth Proportional to 10,225.98, 15,333.84 and 5,294.16

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Solution

The fourth proportional to 10,225.98, 15,333.84 and 5,294.16 is: 7,938.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.98 : 15,333.84 = 5,294.16 : x
  2. Step 2: Convert to fraction form
    10,225.98/15,333.84 = 5,294.16/x
  3. Step 3: Cross multiply
    10,225.98x = 15,333.84 × 5,294.16
  4. Step 4: Simplify right side
    10,225.98x = 81,179,802.37
  5. Step 5: Solve for x
    x = 81,179,802.37/10,225.98
  6. Step 6: Final answer
    x = 7,938.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.