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Finding the Fourth Proportional to 7,563.81, 10,437.88 and 4,206.62

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Solution

The fourth proportional to 7,563.81, 10,437.88 and 4,206.62 is: 5,805.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.81 : 10,437.88 = 4,206.62 : x
  2. Step 2: Convert to fraction form
    7,563.81/10,437.88 = 4,206.62/x
  3. Step 3: Cross multiply
    7,563.81x = 10,437.88 × 4,206.62
  4. Step 4: Simplify right side
    7,563.81x = 43,908,159.52
  5. Step 5: Solve for x
    x = 43,908,159.52/7,563.81
  6. Step 6: Final answer
    x = 5,805.03

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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.