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Finding the Fourth Proportional to 7,816.16, 10,784.80 and 5,300.32

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Solution

The fourth proportional to 7,816.16, 10,784.80 and 5,300.32 is: 7,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.16 : 10,784.80 = 5,300.32 : x
  2. Step 2: Convert to fraction form
    7,816.16/10,784.80 = 5,300.32/x
  3. Step 3: Cross multiply
    7,816.16x = 10,784.80 × 5,300.32
  4. Step 4: Simplify right side
    7,816.16x = 57,162,891.14
  5. Step 5: Solve for x
    x = 57,162,891.14/7,816.16
  6. Step 6: Final answer
    x = 7,313.42

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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.