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Finding the Fourth Proportional to 11,967.49, 16,515.62 and 6,931.63

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Solution

The fourth proportional to 11,967.49, 16,515.62 and 6,931.63 is: 9,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.49 : 16,515.62 = 6,931.63 : x
  2. Step 2: Convert to fraction form
    11,967.49/16,515.62 = 6,931.63/x
  3. Step 3: Cross multiply
    11,967.49x = 16,515.62 × 6,931.63
  4. Step 4: Simplify right side
    11,967.49x = 114,480,167.06
  5. Step 5: Solve for x
    x = 114,480,167.06/11,967.49
  6. Step 6: Final answer
    x = 9,565.93

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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.