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Finding the Fourth Proportional to 7,685.72, 10,606.50 and 4,701.50

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Solution

The fourth proportional to 7,685.72, 10,606.50 and 4,701.50 is: 6,488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.72 : 10,606.50 = 4,701.50 : x
  2. Step 2: Convert to fraction form
    7,685.72/10,606.50 = 4,701.50/x
  3. Step 3: Cross multiply
    7,685.72x = 10,606.50 × 4,701.50
  4. Step 4: Simplify right side
    7,685.72x = 49,866,406.72
  5. Step 5: Solve for x
    x = 49,866,406.72/7,685.72
  6. Step 6: Final answer
    x = 6,488.19

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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.