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Finding the Fourth Proportional to 11,478.51, 15,842.52 and 7,006.23

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Solution

The fourth proportional to 11,478.51, 15,842.52 and 7,006.23 is: 9,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.51 : 15,842.52 = 7,006.23 : x
  2. Step 2: Convert to fraction form
    11,478.51/15,842.52 = 7,006.23/x
  3. Step 3: Cross multiply
    11,478.51x = 15,842.52 × 7,006.23
  4. Step 4: Simplify right side
    11,478.51x = 110,996,338.90
  5. Step 5: Solve for x
    x = 110,996,338.90/11,478.51
  6. Step 6: Final answer
    x = 9,669.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.