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Finding the Fourth Proportional to 7,562.96, 10,437.42 and 4,206.10

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Solution

The fourth proportional to 7,562.96, 10,437.42 and 4,206.10 is: 5,804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.96 : 10,437.42 = 4,206.10 : x
  2. Step 2: Convert to fraction form
    7,562.96/10,437.42 = 4,206.10/x
  3. Step 3: Cross multiply
    7,562.96x = 10,437.42 × 4,206.10
  4. Step 4: Simplify right side
    7,562.96x = 43,900,832.26
  5. Step 5: Solve for x
    x = 43,900,832.26/7,562.96
  6. Step 6: Final answer
    x = 5,804.72

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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.