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Finding the Fourth Proportional to 7,938.36, 11,828.31 and 7,585.08

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Solution

The fourth proportional to 7,938.36, 11,828.31 and 7,585.08 is: 11,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938.36 : 11,828.31 = 7,585.08 : x
  2. Step 2: Convert to fraction form
    7,938.36/11,828.31 = 7,585.08/x
  3. Step 3: Cross multiply
    7,938.36x = 11,828.31 × 7,585.08
  4. Step 4: Simplify right side
    7,938.36x = 89,718,677.61
  5. Step 5: Solve for x
    x = 89,718,677.61/7,938.36
  6. Step 6: Final answer
    x = 11,301.92

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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.