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Finding the Fourth Proportional to 10,568.98, 14,575.44 and 6,785.47

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Solution

The fourth proportional to 10,568.98, 14,575.44 and 6,785.47 is: 9,357.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.98 : 14,575.44 = 6,785.47 : x
  2. Step 2: Convert to fraction form
    10,568.98/14,575.44 = 6,785.47/x
  3. Step 3: Cross multiply
    10,568.98x = 14,575.44 × 6,785.47
  4. Step 4: Simplify right side
    10,568.98x = 98,901,254.52
  5. Step 5: Solve for x
    x = 98,901,254.52/10,568.98
  6. Step 6: Final answer
    x = 9,357.69

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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.