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Finding the Fourth Proportional to 7,865.50, 10,856.67 and 4,681.03

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Solution

The fourth proportional to 7,865.50, 10,856.67 and 4,681.03 is: 6,461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.50 : 10,856.67 = 4,681.03 : x
  2. Step 2: Convert to fraction form
    7,865.50/10,856.67 = 4,681.03/x
  3. Step 3: Cross multiply
    7,865.50x = 10,856.67 × 4,681.03
  4. Step 4: Simplify right side
    7,865.50x = 50,820,343.69
  5. Step 5: Solve for x
    x = 50,820,343.69/7,865.50
  6. Step 6: Final answer
    x = 6,461.18

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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.