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Finding the Fourth Proportional to 10,046.71, 13,845.34 and 7,358.76

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Solution

The fourth proportional to 10,046.71, 13,845.34 and 7,358.76 is: 10,141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.71 : 13,845.34 = 7,358.76 : x
  2. Step 2: Convert to fraction form
    10,046.71/13,845.34 = 7,358.76/x
  3. Step 3: Cross multiply
    10,046.71x = 13,845.34 × 7,358.76
  4. Step 4: Simplify right side
    10,046.71x = 101,884,534.18
  5. Step 5: Solve for x
    x = 101,884,534.18/10,046.71
  6. Step 6: Final answer
    x = 10,141.08

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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.