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Finding the Fourth Proportional to 10,508.52, 14,501.52 and 6,782.52

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Solution

The fourth proportional to 10,508.52, 14,501.52 and 6,782.52 is: 9,359.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.52 : 14,501.52 = 6,782.52 : x
  2. Step 2: Convert to fraction form
    10,508.52/14,501.52 = 6,782.52/x
  3. Step 3: Cross multiply
    10,508.52x = 14,501.52 × 6,782.52
  4. Step 4: Simplify right side
    10,508.52x = 98,356,849.43
  5. Step 5: Solve for x
    x = 98,356,849.43/10,508.52
  6. Step 6: Final answer
    x = 9,359.72

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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.