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Finding the Fourth Proportional to 10,754.16, 14,826.84 and 6,970.68

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Solution

The fourth proportional to 10,754.16, 14,826.84 and 6,970.68 is: 9,610.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.16 : 14,826.84 = 6,970.68 : x
  2. Step 2: Convert to fraction form
    10,754.16/14,826.84 = 6,970.68/x
  3. Step 3: Cross multiply
    10,754.16x = 14,826.84 × 6,970.68
  4. Step 4: Simplify right side
    10,754.16x = 103,353,157.05
  5. Step 5: Solve for x
    x = 103,353,157.05/10,754.16
  6. Step 6: Final answer
    x = 9,610.53

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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.