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Finding the Fourth Proportional to 11,895.57, 16,416 and 6,590.61

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Solution

The fourth proportional to 11,895.57, 16,416 and 6,590.61 is: 9,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.57 : 16,416 = 6,590.61 : x
  2. Step 2: Convert to fraction form
    11,895.57/16,416 = 6,590.61/x
  3. Step 3: Cross multiply
    11,895.57x = 16,416 × 6,590.61
  4. Step 4: Simplify right side
    11,895.57x = 108,191,453.76
  5. Step 5: Solve for x
    x = 108,191,453.76/11,895.57
  6. Step 6: Final answer
    x = 9,095.10

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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.