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Finding the Fourth Proportional to 10,490.23, 15,735.32 and 7,384.08

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Solution

The fourth proportional to 10,490.23, 15,735.32 and 7,384.08 is: 11,076.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.23 : 15,735.32 = 7,384.08 : x
  2. Step 2: Convert to fraction form
    10,490.23/15,735.32 = 7,384.08/x
  3. Step 3: Cross multiply
    10,490.23x = 15,735.32 × 7,384.08
  4. Step 4: Simplify right side
    10,490.23x = 116,190,911.48
  5. Step 5: Solve for x
    x = 116,190,911.48/10,490.23
  6. Step 6: Final answer
    x = 11,076.11

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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.