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Finding the Fourth Proportional to 10,428.72, 14,393.88 and 5,953.20

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Solution

The fourth proportional to 10,428.72, 14,393.88 and 5,953.20 is: 8,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.72 : 14,393.88 = 5,953.20 : x
  2. Step 2: Convert to fraction form
    10,428.72/14,393.88 = 5,953.20/x
  3. Step 3: Cross multiply
    10,428.72x = 14,393.88 × 5,953.20
  4. Step 4: Simplify right side
    10,428.72x = 85,689,646.42
  5. Step 5: Solve for x
    x = 85,689,646.42/10,428.72
  6. Step 6: Final answer
    x = 8,216.70

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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.