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Finding the Fourth Proportional to 7,646.49, 10,548.59 and 4,812.57

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Solution

The fourth proportional to 7,646.49, 10,548.59 and 4,812.57 is: 6,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.49 : 10,548.59 = 4,812.57 : x
  2. Step 2: Convert to fraction form
    7,646.49/10,548.59 = 4,812.57/x
  3. Step 3: Cross multiply
    7,646.49x = 10,548.59 × 4,812.57
  4. Step 4: Simplify right side
    7,646.49x = 50,765,803.71
  5. Step 5: Solve for x
    x = 50,765,803.71/7,646.49
  6. Step 6: Final answer
    x = 6,639.10

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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.