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Finding the Fourth Proportional to 8,548.84, 11,779.86 and 6,307.16

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Solution

The fourth proportional to 8,548.84, 11,779.86 and 6,307.16 is: 8,690.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.84 : 11,779.86 = 6,307.16 : x
  2. Step 2: Convert to fraction form
    8,548.84/11,779.86 = 6,307.16/x
  3. Step 3: Cross multiply
    8,548.84x = 11,779.86 × 6,307.16
  4. Step 4: Simplify right side
    8,548.84x = 74,297,461.80
  5. Step 5: Solve for x
    x = 74,297,461.80/8,548.84
  6. Step 6: Final answer
    x = 8,690.94

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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.