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Finding the Fourth Proportional to 10,707.72, 14,776.68 and 5,928

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Solution

The fourth proportional to 10,707.72, 14,776.68 and 5,928 is: 8,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.72 : 14,776.68 = 5,928 : x
  2. Step 2: Convert to fraction form
    10,707.72/14,776.68 = 5,928/x
  3. Step 3: Cross multiply
    10,707.72x = 14,776.68 × 5,928
  4. Step 4: Simplify right side
    10,707.72x = 87,596,159.04
  5. Step 5: Solve for x
    x = 87,596,159.04/10,707.72
  6. Step 6: Final answer
    x = 8,180.65

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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.