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Finding the Fourth Proportional to 7,562.25, 10,435.95 and 4,417.83

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Solution

The fourth proportional to 7,562.25, 10,435.95 and 4,417.83 is: 6,096.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.25 : 10,435.95 = 4,417.83 : x
  2. Step 2: Convert to fraction form
    7,562.25/10,435.95 = 4,417.83/x
  3. Step 3: Cross multiply
    7,562.25x = 10,435.95 × 4,417.83
  4. Step 4: Simplify right side
    7,562.25x = 46,104,252.99
  5. Step 5: Solve for x
    x = 46,104,252.99/7,562.25
  6. Step 6: Final answer
    x = 6,096.63

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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.