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Finding the Fourth Proportional to 7,543.94, 10,407.78 and 5,559.23

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Solution

The fourth proportional to 7,543.94, 10,407.78 and 5,559.23 is: 7,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.94 : 10,407.78 = 5,559.23 : x
  2. Step 2: Convert to fraction form
    7,543.94/10,407.78 = 5,559.23/x
  3. Step 3: Cross multiply
    7,543.94x = 10,407.78 × 5,559.23
  4. Step 4: Simplify right side
    7,543.94x = 57,859,242.81
  5. Step 5: Solve for x
    x = 57,859,242.81/7,543.94
  6. Step 6: Final answer
    x = 7,669.63

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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.