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Finding the Fourth Proportional to 10,568.32, 14,582.96 and 5,852.64

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Solution

The fourth proportional to 10,568.32, 14,582.96 and 5,852.64 is: 8,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.32 : 14,582.96 = 5,852.64 : x
  2. Step 2: Convert to fraction form
    10,568.32/14,582.96 = 5,852.64/x
  3. Step 3: Cross multiply
    10,568.32x = 14,582.96 × 5,852.64
  4. Step 4: Simplify right side
    10,568.32x = 85,348,815.01
  5. Step 5: Solve for x
    x = 85,348,815.01/10,568.32
  6. Step 6: Final answer
    x = 8,075.91

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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.