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Finding the Fourth Proportional to 10,717.47, 14,796.68 and 8,488.35

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Solution

The fourth proportional to 10,717.47, 14,796.68 and 8,488.35 is: 11,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.47 : 14,796.68 = 8,488.35 : x
  2. Step 2: Convert to fraction form
    10,717.47/14,796.68 = 8,488.35/x
  3. Step 3: Cross multiply
    10,717.47x = 14,796.68 × 8,488.35
  4. Step 4: Simplify right side
    10,717.47x = 125,599,356.24
  5. Step 5: Solve for x
    x = 125,599,356.24/10,717.47
  6. Step 6: Final answer
    x = 11,719.12

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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.