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Finding the Fourth Proportional to 10,798.48, 14,908.68 and 7,823.92

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Solution

The fourth proportional to 10,798.48, 14,908.68 and 7,823.92 is: 10,801.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.48 : 14,908.68 = 7,823.92 : x
  2. Step 2: Convert to fraction form
    10,798.48/14,908.68 = 7,823.92/x
  3. Step 3: Cross multiply
    10,798.48x = 14,908.68 × 7,823.92
  4. Step 4: Simplify right side
    10,798.48x = 116,644,319.63
  5. Step 5: Solve for x
    x = 116,644,319.63/10,798.48
  6. Step 6: Final answer
    x = 10,801.92

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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.