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Finding the Fourth Proportional to 7,926.30, 11,894.31 and 3,547.46

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Solution

The fourth proportional to 7,926.30, 11,894.31 and 3,547.46 is: 5,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926.30 : 11,894.31 = 3,547.46 : x
  2. Step 2: Convert to fraction form
    7,926.30/11,894.31 = 3,547.46/x
  3. Step 3: Cross multiply
    7,926.30x = 11,894.31 × 3,547.46
  4. Step 4: Simplify right side
    7,926.30x = 42,194,588.95
  5. Step 5: Solve for x
    x = 42,194,588.95/7,926.30
  6. Step 6: Final answer
    x = 5,323.37

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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.