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Finding the Fourth Proportional to 8,903.12, 13,350.12 and 5,206.16

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Solution

The fourth proportional to 8,903.12, 13,350.12 and 5,206.16 is: 7,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,903.12 : 13,350.12 = 5,206.16 : x
  2. Step 2: Convert to fraction form
    8,903.12/13,350.12 = 5,206.16/x
  3. Step 3: Cross multiply
    8,903.12x = 13,350.12 × 5,206.16
  4. Step 4: Simplify right side
    8,903.12x = 69,502,860.74
  5. Step 5: Solve for x
    x = 69,502,860.74/8,903.12
  6. Step 6: Final answer
    x = 7,806.57

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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.