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Finding the Fourth Proportional to 7,646.31, 10,549.41 and 4,458.88

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Solution

The fourth proportional to 7,646.31, 10,549.41 and 4,458.88 is: 6,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.31 : 10,549.41 = 4,458.88 : x
  2. Step 2: Convert to fraction form
    7,646.31/10,549.41 = 4,458.88/x
  3. Step 3: Cross multiply
    7,646.31x = 10,549.41 × 4,458.88
  4. Step 4: Simplify right side
    7,646.31x = 47,038,553.26
  5. Step 5: Solve for x
    x = 47,038,553.26/7,646.31
  6. Step 6: Final answer
    x = 6,151.80

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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.