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Finding the Fourth Proportional to 7,117.80, 10,677.75 and 3,417

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Solution

The fourth proportional to 7,117.80, 10,677.75 and 3,417 is: 5,126.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.80 : 10,677.75 = 3,417 : x
  2. Step 2: Convert to fraction form
    7,117.80/10,677.75 = 3,417/x
  3. Step 3: Cross multiply
    7,117.80x = 10,677.75 × 3,417
  4. Step 4: Simplify right side
    7,117.80x = 36,485,871.75
  5. Step 5: Solve for x
    x = 36,485,871.75/7,117.80
  6. Step 6: Final answer
    x = 5,126.00

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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.