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Finding the Fourth Proportional to 10,567.44, 15,845.23 and 7,239.45

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Solution

The fourth proportional to 10,567.44, 15,845.23 and 7,239.45 is: 10,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.44 : 15,845.23 = 7,239.45 : x
  2. Step 2: Convert to fraction form
    10,567.44/15,845.23 = 7,239.45/x
  3. Step 3: Cross multiply
    10,567.44x = 15,845.23 × 7,239.45
  4. Step 4: Simplify right side
    10,567.44x = 114,710,714.13
  5. Step 5: Solve for x
    x = 114,710,714.13/10,567.44
  6. Step 6: Final answer
    x = 10,855.11

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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.