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Finding the Fourth Proportional to 10,427.77, 15,646.08 and 6,919

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Solution

The fourth proportional to 10,427.77, 15,646.08 and 6,919 is: 10,381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.77 : 15,646.08 = 6,919 : x
  2. Step 2: Convert to fraction form
    10,427.77/15,646.08 = 6,919/x
  3. Step 3: Cross multiply
    10,427.77x = 15,646.08 × 6,919
  4. Step 4: Simplify right side
    10,427.77x = 108,255,227.52
  5. Step 5: Solve for x
    x = 108,255,227.52/10,427.77
  6. Step 6: Final answer
    x = 10,381.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.