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Finding the Fourth Proportional to 7,707.52, 10,636.32 and 6,030.64

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Solution

The fourth proportional to 7,707.52, 10,636.32 and 6,030.64 is: 8,322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.52 : 10,636.32 = 6,030.64 : x
  2. Step 2: Convert to fraction form
    7,707.52/10,636.32 = 6,030.64/x
  3. Step 3: Cross multiply
    7,707.52x = 10,636.32 × 6,030.64
  4. Step 4: Simplify right side
    7,707.52x = 64,143,816.84
  5. Step 5: Solve for x
    x = 64,143,816.84/7,707.52
  6. Step 6: Final answer
    x = 8,322.24

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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.