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Finding the Fourth Proportional to 10,384.49, 15,560.91 and 7,612.98

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Solution

The fourth proportional to 10,384.49, 15,560.91 and 7,612.98 is: 11,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.49 : 15,560.91 = 7,612.98 : x
  2. Step 2: Convert to fraction form
    10,384.49/15,560.91 = 7,612.98/x
  3. Step 3: Cross multiply
    10,384.49x = 15,560.91 × 7,612.98
  4. Step 4: Simplify right side
    10,384.49x = 118,464,896.61
  5. Step 5: Solve for x
    x = 118,464,896.61/10,384.49
  6. Step 6: Final answer
    x = 11,407.87

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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.