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Finding the Fourth Proportional to 7,637.64, 11,381.45 and 7,386.79

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Solution

The fourth proportional to 7,637.64, 11,381.45 and 7,386.79 is: 11,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.64 : 11,381.45 = 7,386.79 : x
  2. Step 2: Convert to fraction form
    7,637.64/11,381.45 = 7,386.79/x
  3. Step 3: Cross multiply
    7,637.64x = 11,381.45 × 7,386.79
  4. Step 4: Simplify right side
    7,637.64x = 84,072,381.05
  5. Step 5: Solve for x
    x = 84,072,381.05/7,637.64
  6. Step 6: Final answer
    x = 11,007.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.