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Finding the Fourth Proportional to 7,580.63, 10,456.54 and 5,423.20

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Solution

The fourth proportional to 7,580.63, 10,456.54 and 5,423.20 is: 7,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.63 : 10,456.54 = 5,423.20 : x
  2. Step 2: Convert to fraction form
    7,580.63/10,456.54 = 5,423.20/x
  3. Step 3: Cross multiply
    7,580.63x = 10,456.54 × 5,423.20
  4. Step 4: Simplify right side
    7,580.63x = 56,707,868.03
  5. Step 5: Solve for x
    x = 56,707,868.03/7,580.63
  6. Step 6: Final answer
    x = 7,480.62

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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.