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Finding the Fourth Proportional to 7,643.30, 10,548.14 and 4,658.67

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Solution

The fourth proportional to 7,643.30, 10,548.14 and 4,658.67 is: 6,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.30 : 10,548.14 = 4,658.67 : x
  2. Step 2: Convert to fraction form
    7,643.30/10,548.14 = 4,658.67/x
  3. Step 3: Cross multiply
    7,643.30x = 10,548.14 × 4,658.67
  4. Step 4: Simplify right side
    7,643.30x = 49,140,280.08
  5. Step 5: Solve for x
    x = 49,140,280.08/7,643.30
  6. Step 6: Final answer
    x = 6,429.20

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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.