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Finding the Fourth Proportional to 7,051.10, 9,723.49 and 4,663.17

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Solution

The fourth proportional to 7,051.10, 9,723.49 and 4,663.17 is: 6,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.10 : 9,723.49 = 4,663.17 : x
  2. Step 2: Convert to fraction form
    7,051.10/9,723.49 = 4,663.17/x
  3. Step 3: Cross multiply
    7,051.10x = 9,723.49 × 4,663.17
  4. Step 4: Simplify right side
    7,051.10x = 45,342,301.44
  5. Step 5: Solve for x
    x = 45,342,301.44/7,051.10
  6. Step 6: Final answer
    x = 6,430.53

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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.