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Finding the Fourth Proportional to 8,920.30, 12,313.74 and 5,382.76

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Solution

The fourth proportional to 8,920.30, 12,313.74 and 5,382.76 is: 7,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920.30 : 12,313.74 = 5,382.76 : x
  2. Step 2: Convert to fraction form
    8,920.30/12,313.74 = 5,382.76/x
  3. Step 3: Cross multiply
    8,920.30x = 12,313.74 × 5,382.76
  4. Step 4: Simplify right side
    8,920.30x = 66,281,907.12
  5. Step 5: Solve for x
    x = 66,281,907.12/8,920.30
  6. Step 6: Final answer
    x = 7,430.46

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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.