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Finding the Fourth Proportional to 10,595.97, 14,632.25 and 7,938.77

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Solution

The fourth proportional to 10,595.97, 14,632.25 and 7,938.77 is: 10,962.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.97 : 14,632.25 = 7,938.77 : x
  2. Step 2: Convert to fraction form
    10,595.97/14,632.25 = 7,938.77/x
  3. Step 3: Cross multiply
    10,595.97x = 14,632.25 × 7,938.77
  4. Step 4: Simplify right side
    10,595.97x = 116,161,954.48
  5. Step 5: Solve for x
    x = 116,161,954.48/10,595.97
  6. Step 6: Final answer
    x = 10,962.84

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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.