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Finding the Fourth Proportional to 11,024.90, 15,206.02 and 7,666.03

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Solution

The fourth proportional to 11,024.90, 15,206.02 and 7,666.03 is: 10,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,024.90 : 15,206.02 = 7,666.03 : x
  2. Step 2: Convert to fraction form
    11,024.90/15,206.02 = 7,666.03/x
  3. Step 3: Cross multiply
    11,024.90x = 15,206.02 × 7,666.03
  4. Step 4: Simplify right side
    11,024.90x = 116,569,805.50
  5. Step 5: Solve for x
    x = 116,569,805.50/11,024.90
  6. Step 6: Final answer
    x = 10,573.32

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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.