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Finding the Fourth Proportional to 10,499, 15,743.37 and 4,947.62

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Solution

The fourth proportional to 10,499, 15,743.37 and 4,947.62 is: 7,419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499 : 15,743.37 = 4,947.62 : x
  2. Step 2: Convert to fraction form
    10,499/15,743.37 = 4,947.62/x
  3. Step 3: Cross multiply
    10,499x = 15,743.37 × 4,947.62
  4. Step 4: Simplify right side
    10,499x = 77,892,212.28
  5. Step 5: Solve for x
    x = 77,892,212.28/10,499
  6. Step 6: Final answer
    x = 7,419.01

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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.