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Finding the Fourth Proportional to 25,926.48, 38,891.16 and 7,458

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Solution

The fourth proportional to 25,926.48, 38,891.16 and 7,458 is: 11,187.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,926.48 : 38,891.16 = 7,458 : x
  2. Step 2: Convert to fraction form
    25,926.48/38,891.16 = 7,458/x
  3. Step 3: Cross multiply
    25,926.48x = 38,891.16 × 7,458
  4. Step 4: Simplify right side
    25,926.48x = 290,050,271.28
  5. Step 5: Solve for x
    x = 290,050,271.28/25,926.48
  6. Step 6: Final answer
    x = 11,187.41

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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.