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Finding the Fourth Proportional to 10,434.70, 14,399.93 and 5,654.65

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Solution

The fourth proportional to 10,434.70, 14,399.93 and 5,654.65 is: 7,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.70 : 14,399.93 = 5,654.65 : x
  2. Step 2: Convert to fraction form
    10,434.70/14,399.93 = 5,654.65/x
  3. Step 3: Cross multiply
    10,434.70x = 14,399.93 × 5,654.65
  4. Step 4: Simplify right side
    10,434.70x = 81,426,564.17
  5. Step 5: Solve for x
    x = 81,426,564.17/10,434.70
  6. Step 6: Final answer
    x = 7,803.44

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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.