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Finding the Fourth Proportional to 7,430.95, 10,254.82 and 4,446.91

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Solution

The fourth proportional to 7,430.95, 10,254.82 and 4,446.91 is: 6,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.95 : 10,254.82 = 4,446.91 : x
  2. Step 2: Convert to fraction form
    7,430.95/10,254.82 = 4,446.91/x
  3. Step 3: Cross multiply
    7,430.95x = 10,254.82 × 4,446.91
  4. Step 4: Simplify right side
    7,430.95x = 45,602,247.09
  5. Step 5: Solve for x
    x = 45,602,247.09/7,430.95
  6. Step 6: Final answer
    x = 6,136.80

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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.