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Finding the Fourth Proportional to 7,580.30, 10,460.46 and 4,223.08

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Solution

The fourth proportional to 7,580.30, 10,460.46 and 4,223.08 is: 5,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.30 : 10,460.46 = 4,223.08 : x
  2. Step 2: Convert to fraction form
    7,580.30/10,460.46 = 4,223.08/x
  3. Step 3: Cross multiply
    7,580.30x = 10,460.46 × 4,223.08
  4. Step 4: Simplify right side
    7,580.30x = 44,175,359.42
  5. Step 5: Solve for x
    x = 44,175,359.42/7,580.30
  6. Step 6: Final answer
    x = 5,827.65

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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.