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Finding the Fourth Proportional to 10,425.95, 14,388.00 and 5,709.93

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Solution

The fourth proportional to 10,425.95, 14,388.00 and 5,709.93 is: 7,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.95 : 14,388.00 = 5,709.93 : x
  2. Step 2: Convert to fraction form
    10,425.95/14,388.00 = 5,709.93/x
  3. Step 3: Cross multiply
    10,425.95x = 14,388.00 × 5,709.93
  4. Step 4: Simplify right side
    10,425.95x = 82,154,397.47
  5. Step 5: Solve for x
    x = 82,154,397.47/10,425.95
  6. Step 6: Final answer
    x = 7,879.80

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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.