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Finding the Fourth Proportional to 7,637.46, 10,541.60 and 4,655.80

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Solution

The fourth proportional to 7,637.46, 10,541.60 and 4,655.80 is: 6,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.46 : 10,541.60 = 4,655.80 : x
  2. Step 2: Convert to fraction form
    7,637.46/10,541.60 = 4,655.80/x
  3. Step 3: Cross multiply
    7,637.46x = 10,541.60 × 4,655.80
  4. Step 4: Simplify right side
    7,637.46x = 49,079,581.28
  5. Step 5: Solve for x
    x = 49,079,581.28/7,637.46
  6. Step 6: Final answer
    x = 6,426.17

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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.