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Finding the Fourth Proportional to 10,654.70, 14,688.09 and 7,458.09

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Solution

The fourth proportional to 10,654.70, 14,688.09 and 7,458.09 is: 10,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.70 : 14,688.09 = 7,458.09 : x
  2. Step 2: Convert to fraction form
    10,654.70/14,688.09 = 7,458.09/x
  3. Step 3: Cross multiply
    10,654.70x = 14,688.09 × 7,458.09
  4. Step 4: Simplify right side
    10,654.70x = 109,545,097.15
  5. Step 5: Solve for x
    x = 109,545,097.15/10,654.70
  6. Step 6: Final answer
    x = 10,281.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.