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Finding the Fourth Proportional to 11,967.01, 16,515.02 and 6,931.45

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Solution

The fourth proportional to 11,967.01, 16,515.02 and 6,931.45 is: 9,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.01 : 16,515.02 = 6,931.45 : x
  2. Step 2: Convert to fraction form
    11,967.01/16,515.02 = 6,931.45/x
  3. Step 3: Cross multiply
    11,967.01x = 16,515.02 × 6,931.45
  4. Step 4: Simplify right side
    11,967.01x = 114,473,035.38
  5. Step 5: Solve for x
    x = 114,473,035.38/11,967.01
  6. Step 6: Final answer
    x = 9,565.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.