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Finding the Fourth Proportional to 7,294.56, 10,071.29 and 5,613.00

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Solution

The fourth proportional to 7,294.56, 10,071.29 and 5,613.00 is: 7,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.56 : 10,071.29 = 5,613.00 : x
  2. Step 2: Convert to fraction form
    7,294.56/10,071.29 = 5,613.00/x
  3. Step 3: Cross multiply
    7,294.56x = 10,071.29 × 5,613.00
  4. Step 4: Simplify right side
    7,294.56x = 56,530,095.46
  5. Step 5: Solve for x
    x = 56,530,095.46/7,294.56
  6. Step 6: Final answer
    x = 7,749.63

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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.