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Finding the Fourth Proportional to 10,464.37, 15,758.44 and 7,562.95

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Solution

The fourth proportional to 10,464.37, 15,758.44 and 7,562.95 is: 11,389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.37 : 15,758.44 = 7,562.95 : x
  2. Step 2: Convert to fraction form
    10,464.37/15,758.44 = 7,562.95/x
  3. Step 3: Cross multiply
    10,464.37x = 15,758.44 × 7,562.95
  4. Step 4: Simplify right side
    10,464.37x = 119,180,235.49
  5. Step 5: Solve for x
    x = 119,180,235.49/10,464.37
  6. Step 6: Final answer
    x = 11,389.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.