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Finding the Fourth Proportional to 10,358.31, 14,293.98 and 5,642.58

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Solution

The fourth proportional to 10,358.31, 14,293.98 and 5,642.58 is: 7,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.31 : 14,293.98 = 5,642.58 : x
  2. Step 2: Convert to fraction form
    10,358.31/14,293.98 = 5,642.58/x
  3. Step 3: Cross multiply
    10,358.31x = 14,293.98 × 5,642.58
  4. Step 4: Simplify right side
    10,358.31x = 80,654,925.67
  5. Step 5: Solve for x
    x = 80,654,925.67/10,358.31
  6. Step 6: Final answer
    x = 7,786.49

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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.