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Finding the Fourth Proportional to 7,648.47, 10,553.63 and 4,505.27

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Solution

The fourth proportional to 7,648.47, 10,553.63 and 4,505.27 is: 6,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.47 : 10,553.63 = 4,505.27 : x
  2. Step 2: Convert to fraction form
    7,648.47/10,553.63 = 4,505.27/x
  3. Step 3: Cross multiply
    7,648.47x = 10,553.63 × 4,505.27
  4. Step 4: Simplify right side
    7,648.47x = 47,546,877.34
  5. Step 5: Solve for x
    x = 47,546,877.34/7,648.47
  6. Step 6: Final answer
    x = 6,216.52

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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.