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Finding the Fourth Proportional to 10,508.53, 14,501.59 and 5,728.53

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Solution

The fourth proportional to 10,508.53, 14,501.59 and 5,728.53 is: 7,905.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.53 : 14,501.59 = 5,728.53 : x
  2. Step 2: Convert to fraction form
    10,508.53/14,501.59 = 5,728.53/x
  3. Step 3: Cross multiply
    10,508.53x = 14,501.59 × 5,728.53
  4. Step 4: Simplify right side
    10,508.53x = 83,072,793.36
  5. Step 5: Solve for x
    x = 83,072,793.36/10,508.53
  6. Step 6: Final answer
    x = 7,905.27

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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.