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Finding the Fourth Proportional to 10,323.66, 14,246.64 and 5,607.91

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Solution

The fourth proportional to 10,323.66, 14,246.64 and 5,607.91 is: 7,738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.66 : 14,246.64 = 5,607.91 : x
  2. Step 2: Convert to fraction form
    10,323.66/14,246.64 = 5,607.91/x
  3. Step 3: Cross multiply
    10,323.66x = 14,246.64 × 5,607.91
  4. Step 4: Simplify right side
    10,323.66x = 79,893,839.31
  5. Step 5: Solve for x
    x = 79,893,839.31/10,323.66
  6. Step 6: Final answer
    x = 7,738.91

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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.