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Finding the Fourth Proportional to 7,563.06, 10,437.13 and 4,206.17

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Solution

The fourth proportional to 7,563.06, 10,437.13 and 4,206.17 is: 5,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.06 : 10,437.13 = 4,206.17 : x
  2. Step 2: Convert to fraction form
    7,563.06/10,437.13 = 4,206.17/x
  3. Step 3: Cross multiply
    7,563.06x = 10,437.13 × 4,206.17
  4. Step 4: Simplify right side
    7,563.06x = 43,900,358.67
  5. Step 5: Solve for x
    x = 43,900,358.67/7,563.06
  6. Step 6: Final answer
    x = 5,804.58

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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.