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Finding the Fourth Proportional to 7,560.29, 10,419.62 and 6,148.64

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Solution

The fourth proportional to 7,560.29, 10,419.62 and 6,148.64 is: 8,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,560.29 : 10,419.62 = 6,148.64 : x
  2. Step 2: Convert to fraction form
    7,560.29/10,419.62 = 6,148.64/x
  3. Step 3: Cross multiply
    7,560.29x = 10,419.62 × 6,148.64
  4. Step 4: Simplify right side
    7,560.29x = 64,066,409.48
  5. Step 5: Solve for x
    x = 64,066,409.48/7,560.29
  6. Step 6: Final answer
    x = 8,474.07

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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.