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Finding the Fourth Proportional to 7,580.32, 10,461.16 and 4,223.13

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Solution

The fourth proportional to 7,580.32, 10,461.16 and 4,223.13 is: 5,828.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.32 : 10,461.16 = 4,223.13 : x
  2. Step 2: Convert to fraction form
    7,580.32/10,461.16 = 4,223.13/x
  3. Step 3: Cross multiply
    7,580.32x = 10,461.16 × 4,223.13
  4. Step 4: Simplify right side
    7,580.32x = 44,178,804.68
  5. Step 5: Solve for x
    x = 44,178,804.68/7,580.32
  6. Step 6: Final answer
    x = 5,828.09

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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.