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Finding the Fourth Proportional to 28,581.68, 42,875.40 and 7,805.36

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Solution

The fourth proportional to 28,581.68, 42,875.40 and 7,805.36 is: 11,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,581.68 : 42,875.40 = 7,805.36 : x
  2. Step 2: Convert to fraction form
    28,581.68/42,875.40 = 7,805.36/x
  3. Step 3: Cross multiply
    28,581.68x = 42,875.40 × 7,805.36
  4. Step 4: Simplify right side
    28,581.68x = 334,657,932.14
  5. Step 5: Solve for x
    x = 334,657,932.14/28,581.68
  6. Step 6: Final answer
    x = 11,708.83

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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.