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Finding the Fourth Proportional to 10,435.65, 15,654.02 and 5,097.21

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Solution

The fourth proportional to 10,435.65, 15,654.02 and 5,097.21 is: 7,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.65 : 15,654.02 = 5,097.21 : x
  2. Step 2: Convert to fraction form
    10,435.65/15,654.02 = 5,097.21/x
  3. Step 3: Cross multiply
    10,435.65x = 15,654.02 × 5,097.21
  4. Step 4: Simplify right side
    10,435.65x = 79,791,801.80
  5. Step 5: Solve for x
    x = 79,791,801.80/10,435.65
  6. Step 6: Final answer
    x = 7,646.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.