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Finding the Fourth Proportional to 10,707.77, 14,782.32 and 6,675.82

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Solution

The fourth proportional to 10,707.77, 14,782.32 and 6,675.82 is: 9,216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.77 : 14,782.32 = 6,675.82 : x
  2. Step 2: Convert to fraction form
    10,707.77/14,782.32 = 6,675.82/x
  3. Step 3: Cross multiply
    10,707.77x = 14,782.32 × 6,675.82
  4. Step 4: Simplify right side
    10,707.77x = 98,684,070.55
  5. Step 5: Solve for x
    x = 98,684,070.55/10,707.77
  6. Step 6: Final answer
    x = 9,216.12

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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.