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Finding the Fourth Proportional to 10,721.61, 14,795.64 and 5,941.51

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Solution

The fourth proportional to 10,721.61, 14,795.64 and 5,941.51 is: 8,199.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,721.61 : 14,795.64 = 5,941.51 : x
  2. Step 2: Convert to fraction form
    10,721.61/14,795.64 = 5,941.51/x
  3. Step 3: Cross multiply
    10,721.61x = 14,795.64 × 5,941.51
  4. Step 4: Simplify right side
    10,721.61x = 87,908,406.03
  5. Step 5: Solve for x
    x = 87,908,406.03/10,721.61
  6. Step 6: Final answer
    x = 8,199.18

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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.