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Finding the Fourth Proportional to 11,710.02, 16,159.71 and 6,404.94

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Solution

The fourth proportional to 11,710.02, 16,159.71 and 6,404.94 is: 8,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.02 : 16,159.71 = 6,404.94 : x
  2. Step 2: Convert to fraction form
    11,710.02/16,159.71 = 6,404.94/x
  3. Step 3: Cross multiply
    11,710.02x = 16,159.71 × 6,404.94
  4. Step 4: Simplify right side
    11,710.02x = 103,501,972.97
  5. Step 5: Solve for x
    x = 103,501,972.97/11,710.02
  6. Step 6: Final answer
    x = 8,838.75

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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.