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Finding the Fourth Proportional to 10,563.19, 14,578.47 and 6,784.96

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Solution

The fourth proportional to 10,563.19, 14,578.47 and 6,784.96 is: 9,364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.19 : 14,578.47 = 6,784.96 : x
  2. Step 2: Convert to fraction form
    10,563.19/14,578.47 = 6,784.96/x
  3. Step 3: Cross multiply
    10,563.19x = 14,578.47 × 6,784.96
  4. Step 4: Simplify right side
    10,563.19x = 98,914,335.81
  5. Step 5: Solve for x
    x = 98,914,335.81/10,563.19
  6. Step 6: Final answer
    x = 9,364.06

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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.