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Finding the Fourth Proportional to 7,559.12, 10,430.07 and 4,414.70

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Solution

The fourth proportional to 7,559.12, 10,430.07 and 4,414.70 is: 6,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.12 : 10,430.07 = 4,414.70 : x
  2. Step 2: Convert to fraction form
    7,559.12/10,430.07 = 4,414.70/x
  3. Step 3: Cross multiply
    7,559.12x = 10,430.07 × 4,414.70
  4. Step 4: Simplify right side
    7,559.12x = 46,045,639.55
  5. Step 5: Solve for x
    x = 46,045,639.55/7,559.12
  6. Step 6: Final answer
    x = 6,091.40

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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.