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Finding the Fourth Proportional to 10,344.57, 15,511 and 9,462.93

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Solution

The fourth proportional to 10,344.57, 15,511 and 9,462.93 is: 14,189.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.57 : 15,511 = 9,462.93 : x
  2. Step 2: Convert to fraction form
    10,344.57/15,511 = 9,462.93/x
  3. Step 3: Cross multiply
    10,344.57x = 15,511 × 9,462.93
  4. Step 4: Simplify right side
    10,344.57x = 146,779,507.23
  5. Step 5: Solve for x
    x = 146,779,507.23/10,344.57
  6. Step 6: Final answer
    x = 14,189.04

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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.