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Finding the Fourth Proportional to 10,768.68, 14,856.21 and 6,574.50

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Solution

The fourth proportional to 10,768.68, 14,856.21 and 6,574.50 is: 9,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.68 : 14,856.21 = 6,574.50 : x
  2. Step 2: Convert to fraction form
    10,768.68/14,856.21 = 6,574.50/x
  3. Step 3: Cross multiply
    10,768.68x = 14,856.21 × 6,574.50
  4. Step 4: Simplify right side
    10,768.68x = 97,672,152.65
  5. Step 5: Solve for x
    x = 97,672,152.65/10,768.68
  6. Step 6: Final answer
    x = 9,070.02

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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.