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Finding the Fourth Proportional to 10,398.92, 14,346.25 and 7,560.07

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Solution

The fourth proportional to 10,398.92, 14,346.25 and 7,560.07 is: 10,429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.92 : 14,346.25 = 7,560.07 : x
  2. Step 2: Convert to fraction form
    10,398.92/14,346.25 = 7,560.07/x
  3. Step 3: Cross multiply
    10,398.92x = 14,346.25 × 7,560.07
  4. Step 4: Simplify right side
    10,398.92x = 108,458,599.47
  5. Step 5: Solve for x
    x = 108,458,599.47/10,398.92
  6. Step 6: Final answer
    x = 10,429.80

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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.