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Finding the Fourth Proportional to 7,533.86, 10,396.98 and 4,549.10

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Solution

The fourth proportional to 7,533.86, 10,396.98 and 4,549.10 is: 6,277.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.86 : 10,396.98 = 4,549.10 : x
  2. Step 2: Convert to fraction form
    7,533.86/10,396.98 = 4,549.10/x
  3. Step 3: Cross multiply
    7,533.86x = 10,396.98 × 4,549.10
  4. Step 4: Simplify right side
    7,533.86x = 47,296,849.73
  5. Step 5: Solve for x
    x = 47,296,849.73/7,533.86
  6. Step 6: Final answer
    x = 6,277.91

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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.