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Finding the Fourth Proportional to 7,548.63, 10,417.44 and 4,191.45

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Solution

The fourth proportional to 7,548.63, 10,417.44 and 4,191.45 is: 5,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.63 : 10,417.44 = 4,191.45 : x
  2. Step 2: Convert to fraction form
    7,548.63/10,417.44 = 4,191.45/x
  3. Step 3: Cross multiply
    7,548.63x = 10,417.44 × 4,191.45
  4. Step 4: Simplify right side
    7,548.63x = 43,664,116.32
  5. Step 5: Solve for x
    x = 43,664,116.32/7,548.63
  6. Step 6: Final answer
    x = 5,784.37

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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.