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Finding the Fourth Proportional to 7,701.80, 10,628.48 and 4,165.00

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Solution

The fourth proportional to 7,701.80, 10,628.48 and 4,165.00 is: 5,747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.80 : 10,628.48 = 4,165.00 : x
  2. Step 2: Convert to fraction form
    7,701.80/10,628.48 = 4,165.00/x
  3. Step 3: Cross multiply
    7,701.80x = 10,628.48 × 4,165.00
  4. Step 4: Simplify right side
    7,701.80x = 44,267,603.04
  5. Step 5: Solve for x
    x = 44,267,603.04/7,701.80
  6. Step 6: Final answer
    x = 5,747.70

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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.