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Finding the Fourth Proportional to 10,563.84, 14,580.72 and 6,374.88

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Solution

The fourth proportional to 10,563.84, 14,580.72 and 6,374.88 is: 8,798.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.84 : 14,580.72 = 6,374.88 : x
  2. Step 2: Convert to fraction form
    10,563.84/14,580.72 = 6,374.88/x
  3. Step 3: Cross multiply
    10,563.84x = 14,580.72 × 6,374.88
  4. Step 4: Simplify right side
    10,563.84x = 92,950,340.31
  5. Step 5: Solve for x
    x = 92,950,340.31/10,563.84
  6. Step 6: Final answer
    x = 8,798.92

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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.