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Finding the Fourth Proportional to 10,296.60, 15,444.71 and 2,505.48

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Solution

The fourth proportional to 10,296.60, 15,444.71 and 2,505.48 is: 3,758.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.60 : 15,444.71 = 2,505.48 : x
  2. Step 2: Convert to fraction form
    10,296.60/15,444.71 = 2,505.48/x
  3. Step 3: Cross multiply
    10,296.60x = 15,444.71 × 2,505.48
  4. Step 4: Simplify right side
    10,296.60x = 38,696,412.01
  5. Step 5: Solve for x
    x = 38,696,412.01/10,296.60
  6. Step 6: Final answer
    x = 3,758.17

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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.