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Finding the Fourth Proportional to 10,508.18, 14,500.84 and 5,728.01

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Solution

The fourth proportional to 10,508.18, 14,500.84 and 5,728.01 is: 7,904.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.18 : 14,500.84 = 5,728.01 : x
  2. Step 2: Convert to fraction form
    10,508.18/14,500.84 = 5,728.01/x
  3. Step 3: Cross multiply
    10,508.18x = 14,500.84 × 5,728.01
  4. Step 4: Simplify right side
    10,508.18x = 83,061,018.91
  5. Step 5: Solve for x
    x = 83,061,018.91/10,508.18
  6. Step 6: Final answer
    x = 7,904.42

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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.