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Finding the Fourth Proportional to 7,117.80, 10,676.70 and 6,599.40

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Solution

The fourth proportional to 7,117.80, 10,676.70 and 6,599.40 is: 9,899.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.80 : 10,676.70 = 6,599.40 : x
  2. Step 2: Convert to fraction form
    7,117.80/10,676.70 = 6,599.40/x
  3. Step 3: Cross multiply
    7,117.80x = 10,676.70 × 6,599.40
  4. Step 4: Simplify right side
    7,117.80x = 70,459,813.98
  5. Step 5: Solve for x
    x = 70,459,813.98/7,117.80
  6. Step 6: Final answer
    x = 9,899.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.