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Finding the Fourth Proportional to 7,457.80, 10,291.98 and 4,473.76

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Solution

The fourth proportional to 7,457.80, 10,291.98 and 4,473.76 is: 6,173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.80 : 10,291.98 = 4,473.76 : x
  2. Step 2: Convert to fraction form
    7,457.80/10,291.98 = 4,473.76/x
  3. Step 3: Cross multiply
    7,457.80x = 10,291.98 × 4,473.76
  4. Step 4: Simplify right side
    7,457.80x = 46,043,848.44
  5. Step 5: Solve for x
    x = 46,043,848.44/7,457.80
  6. Step 6: Final answer
    x = 6,173.92

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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.