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Finding the Fourth Proportional to 7,875.24, 11,805.54 and 6,242.28

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Solution

The fourth proportional to 7,875.24, 11,805.54 and 6,242.28 is: 9,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.24 : 11,805.54 = 6,242.28 : x
  2. Step 2: Convert to fraction form
    7,875.24/11,805.54 = 6,242.28/x
  3. Step 3: Cross multiply
    7,875.24x = 11,805.54 × 6,242.28
  4. Step 4: Simplify right side
    7,875.24x = 73,693,486.23
  5. Step 5: Solve for x
    x = 73,693,486.23/7,875.24
  6. Step 6: Final answer
    x = 9,357.62

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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.