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Finding the Fourth Proportional to 10,754.18, 14,838.16 and 6,275.37

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Solution

The fourth proportional to 10,754.18, 14,838.16 and 6,275.37 is: 8,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.18 : 14,838.16 = 6,275.37 : x
  2. Step 2: Convert to fraction form
    10,754.18/14,838.16 = 6,275.37/x
  3. Step 3: Cross multiply
    10,754.18x = 14,838.16 × 6,275.37
  4. Step 4: Simplify right side
    10,754.18x = 93,114,944.12
  5. Step 5: Solve for x
    x = 93,114,944.12/10,754.18
  6. Step 6: Final answer
    x = 8,658.49

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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.