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Finding the Fourth Proportional to 7,559.29, 10,434.05 and 4,416.22

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Solution

The fourth proportional to 7,559.29, 10,434.05 and 4,416.22 is: 6,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.29 : 10,434.05 = 4,416.22 : x
  2. Step 2: Convert to fraction form
    7,559.29/10,434.05 = 4,416.22/x
  3. Step 3: Cross multiply
    7,559.29x = 10,434.05 × 4,416.22
  4. Step 4: Simplify right side
    7,559.29x = 46,079,060.29
  5. Step 5: Solve for x
    x = 46,079,060.29/7,559.29
  6. Step 6: Final answer
    x = 6,095.69

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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.