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Finding the Fourth Proportional to 7,038.55, 9,713.08 and 4,054.38

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Solution

The fourth proportional to 7,038.55, 9,713.08 and 4,054.38 is: 5,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.55 : 9,713.08 = 4,054.38 : x
  2. Step 2: Convert to fraction form
    7,038.55/9,713.08 = 4,054.38/x
  3. Step 3: Cross multiply
    7,038.55x = 9,713.08 × 4,054.38
  4. Step 4: Simplify right side
    7,038.55x = 39,380,517.29
  5. Step 5: Solve for x
    x = 39,380,517.29/7,038.55
  6. Step 6: Final answer
    x = 5,594.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.