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Finding the Fourth Proportional to 10,330.66, 14,256.18 and 5,614.84

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Solution

The fourth proportional to 10,330.66, 14,256.18 and 5,614.84 is: 7,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330.66 : 14,256.18 = 5,614.84 : x
  2. Step 2: Convert to fraction form
    10,330.66/14,256.18 = 5,614.84/x
  3. Step 3: Cross multiply
    10,330.66x = 14,256.18 × 5,614.84
  4. Step 4: Simplify right side
    10,330.66x = 80,046,169.71
  5. Step 5: Solve for x
    x = 80,046,169.71/10,330.66
  6. Step 6: Final answer
    x = 7,748.41

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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.