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Finding the Fourth Proportional to 11,895.76, 16,417 and 6,590.93

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Solution

The fourth proportional to 11,895.76, 16,417 and 6,590.93 is: 9,095.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.76 : 16,417 = 6,590.93 : x
  2. Step 2: Convert to fraction form
    11,895.76/16,417 = 6,590.93/x
  3. Step 3: Cross multiply
    11,895.76x = 16,417 × 6,590.93
  4. Step 4: Simplify right side
    11,895.76x = 108,203,297.81
  5. Step 5: Solve for x
    x = 108,203,297.81/11,895.76
  6. Step 6: Final answer
    x = 9,095.96

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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.