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Finding the Fourth Proportional to 11,886.32, 16,404.28 and 6,918

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Solution

The fourth proportional to 11,886.32, 16,404.28 and 6,918 is: 9,547.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.32 : 16,404.28 = 6,918 : x
  2. Step 2: Convert to fraction form
    11,886.32/16,404.28 = 6,918/x
  3. Step 3: Cross multiply
    11,886.32x = 16,404.28 × 6,918
  4. Step 4: Simplify right side
    11,886.32x = 113,484,809.04
  5. Step 5: Solve for x
    x = 113,484,809.04/11,886.32
  6. Step 6: Final answer
    x = 9,547.51

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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.