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Finding the Fourth Proportional to 7,643.48, 10,548.12 and 4,989.36

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Solution

The fourth proportional to 7,643.48, 10,548.12 and 4,989.36 is: 6,885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.48 : 10,548.12 = 4,989.36 : x
  2. Step 2: Convert to fraction form
    7,643.48/10,548.12 = 4,989.36/x
  3. Step 3: Cross multiply
    7,643.48x = 10,548.12 × 4,989.36
  4. Step 4: Simplify right side
    7,643.48x = 52,628,368.00
  5. Step 5: Solve for x
    x = 52,628,368.00/7,643.48
  6. Step 6: Final answer
    x = 6,885.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.