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Finding the Fourth Proportional to 11,670.84, 16,107.10 and 6,497.24

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Solution

The fourth proportional to 11,670.84, 16,107.10 and 6,497.24 is: 8,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.84 : 16,107.10 = 6,497.24 : x
  2. Step 2: Convert to fraction form
    11,670.84/16,107.10 = 6,497.24/x
  3. Step 3: Cross multiply
    11,670.84x = 16,107.10 × 6,497.24
  4. Step 4: Simplify right side
    11,670.84x = 104,651,597.63
  5. Step 5: Solve for x
    x = 104,651,597.63/11,670.84
  6. Step 6: Final answer
    x = 8,966.93

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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.