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Finding the Fourth Proportional to 11,817.18, 16,307.74 and 6,512.34

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Solution

The fourth proportional to 11,817.18, 16,307.74 and 6,512.34 is: 8,987.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.18 : 16,307.74 = 6,512.34 : x
  2. Step 2: Convert to fraction form
    11,817.18/16,307.74 = 6,512.34/x
  3. Step 3: Cross multiply
    11,817.18x = 16,307.74 × 6,512.34
  4. Step 4: Simplify right side
    11,817.18x = 106,201,547.51
  5. Step 5: Solve for x
    x = 106,201,547.51/11,817.18
  6. Step 6: Final answer
    x = 8,987.05

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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.