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Finding the Fourth Proportional to 7,643.69, 10,548.28 and 4,659.53

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Solution

The fourth proportional to 7,643.69, 10,548.28 and 4,659.53 is: 6,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.69 : 10,548.28 = 4,659.53 : x
  2. Step 2: Convert to fraction form
    7,643.69/10,548.28 = 4,659.53/x
  3. Step 3: Cross multiply
    7,643.69x = 10,548.28 × 4,659.53
  4. Step 4: Simplify right side
    7,643.69x = 49,149,953.98
  5. Step 5: Solve for x
    x = 49,149,953.98/7,643.69
  6. Step 6: Final answer
    x = 6,430.13

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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.