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Finding the Fourth Proportional to 11,624.90, 16,042.30 and 6,590.07

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Solution

The fourth proportional to 11,624.90, 16,042.30 and 6,590.07 is: 9,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.90 : 16,042.30 = 6,590.07 : x
  2. Step 2: Convert to fraction form
    11,624.90/16,042.30 = 6,590.07/x
  3. Step 3: Cross multiply
    11,624.90x = 16,042.30 × 6,590.07
  4. Step 4: Simplify right side
    11,624.90x = 105,719,847.01
  5. Step 5: Solve for x
    x = 105,719,847.01/11,624.90
  6. Step 6: Final answer
    x = 9,094.26

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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.