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Finding the Fourth Proportional to 7,785, 10,741.68 and 5,267.52

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Solution

The fourth proportional to 7,785, 10,741.68 and 5,267.52 is: 7,268.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785 : 10,741.68 = 5,267.52 : x
  2. Step 2: Convert to fraction form
    7,785/10,741.68 = 5,267.52/x
  3. Step 3: Cross multiply
    7,785x = 10,741.68 × 5,267.52
  4. Step 4: Simplify right side
    7,785x = 56,582,014.23
  5. Step 5: Solve for x
    x = 56,582,014.23/7,785
  6. Step 6: Final answer
    x = 7,268.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.