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Finding the Fourth Proportional to 10,782.34, 14,879.52 and 6,305.24

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Solution

The fourth proportional to 10,782.34, 14,879.52 and 6,305.24 is: 8,701.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.34 : 14,879.52 = 6,305.24 : x
  2. Step 2: Convert to fraction form
    10,782.34/14,879.52 = 6,305.24/x
  3. Step 3: Cross multiply
    10,782.34x = 14,879.52 × 6,305.24
  4. Step 4: Simplify right side
    10,782.34x = 93,818,981.88
  5. Step 5: Solve for x
    x = 93,818,981.88/10,782.34
  6. Step 6: Final answer
    x = 8,701.17

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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.