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Finding the Fourth Proportional to 11,677.64, 17,517.40 and 4,925.16

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Solution

The fourth proportional to 11,677.64, 17,517.40 and 4,925.16 is: 7,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.64 : 17,517.40 = 4,925.16 : x
  2. Step 2: Convert to fraction form
    11,677.64/17,517.40 = 4,925.16/x
  3. Step 3: Cross multiply
    11,677.64x = 17,517.40 × 4,925.16
  4. Step 4: Simplify right side
    11,677.64x = 86,275,985.47
  5. Step 5: Solve for x
    x = 86,275,985.47/11,677.64
  6. Step 6: Final answer
    x = 7,388.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.