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Finding the Fourth Proportional to 10,374.70, 14,317.05 and 5,658.94

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Solution

The fourth proportional to 10,374.70, 14,317.05 and 5,658.94 is: 7,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.70 : 14,317.05 = 5,658.94 : x
  2. Step 2: Convert to fraction form
    10,374.70/14,317.05 = 5,658.94/x
  3. Step 3: Cross multiply
    10,374.70x = 14,317.05 × 5,658.94
  4. Step 4: Simplify right side
    10,374.70x = 81,019,326.93
  5. Step 5: Solve for x
    x = 81,019,326.93/10,374.70
  6. Step 6: Final answer
    x = 7,809.32

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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.