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Finding the Fourth Proportional to 7,686.05, 10,606.21 and 4,541.63

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Solution

The fourth proportional to 7,686.05, 10,606.21 and 4,541.63 is: 6,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.05 : 10,606.21 = 4,541.63 : x
  2. Step 2: Convert to fraction form
    7,686.05/10,606.21 = 4,541.63/x
  3. Step 3: Cross multiply
    7,686.05x = 10,606.21 × 4,541.63
  4. Step 4: Simplify right side
    7,686.05x = 48,169,417.14
  5. Step 5: Solve for x
    x = 48,169,417.14/7,686.05
  6. Step 6: Final answer
    x = 6,267.13

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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.