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Finding the Fourth Proportional to 7,548.96, 10,417.50 and 4,405.62

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Solution

The fourth proportional to 7,548.96, 10,417.50 and 4,405.62 is: 6,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.96 : 10,417.50 = 4,405.62 : x
  2. Step 2: Convert to fraction form
    7,548.96/10,417.50 = 4,405.62/x
  3. Step 3: Cross multiply
    7,548.96x = 10,417.50 × 4,405.62
  4. Step 4: Simplify right side
    7,548.96x = 45,895,546.35
  5. Step 5: Solve for x
    x = 45,895,546.35/7,548.96
  6. Step 6: Final answer
    x = 6,079.72

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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.