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Finding the Fourth Proportional to 7,988.64, 11,025.84 and 4,802.16

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Solution

The fourth proportional to 7,988.64, 11,025.84 and 4,802.16 is: 6,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988.64 : 11,025.84 = 4,802.16 : x
  2. Step 2: Convert to fraction form
    7,988.64/11,025.84 = 4,802.16/x
  3. Step 3: Cross multiply
    7,988.64x = 11,025.84 × 4,802.16
  4. Step 4: Simplify right side
    7,988.64x = 52,947,847.81
  5. Step 5: Solve for x
    x = 52,947,847.81/7,988.64
  6. Step 6: Final answer
    x = 6,627.89

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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.