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Finding the Fourth Proportional to 10,754.83, 14,838.15 and 6,277.96

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Solution

The fourth proportional to 10,754.83, 14,838.15 and 6,277.96 is: 8,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.83 : 14,838.15 = 6,277.96 : x
  2. Step 2: Convert to fraction form
    10,754.83/14,838.15 = 6,277.96/x
  3. Step 3: Cross multiply
    10,754.83x = 14,838.15 × 6,277.96
  4. Step 4: Simplify right side
    10,754.83x = 93,153,312.17
  5. Step 5: Solve for x
    x = 93,153,312.17/10,754.83
  6. Step 6: Final answer
    x = 8,661.53

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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.