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Finding the Fourth Proportional to 11,627.70, 16,045.50 and 6,522.93

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Solution

The fourth proportional to 11,627.70, 16,045.50 and 6,522.93 is: 9,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.70 : 16,045.50 = 6,522.93 : x
  2. Step 2: Convert to fraction form
    11,627.70/16,045.50 = 6,522.93/x
  3. Step 3: Cross multiply
    11,627.70x = 16,045.50 × 6,522.93
  4. Step 4: Simplify right side
    11,627.70x = 104,663,673.32
  5. Step 5: Solve for x
    x = 104,663,673.32/11,627.70
  6. Step 6: Final answer
    x = 9,001.24

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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.