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Finding the Fourth Proportional to 11,897.10, 17,829.45 and 9,710.10

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Solution

The fourth proportional to 11,897.10, 17,829.45 and 9,710.10 is: 14,551.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.10 : 17,829.45 = 9,710.10 : x
  2. Step 2: Convert to fraction form
    11,897.10/17,829.45 = 9,710.10/x
  3. Step 3: Cross multiply
    11,897.10x = 17,829.45 × 9,710.10
  4. Step 4: Simplify right side
    11,897.10x = 173,125,742.45
  5. Step 5: Solve for x
    x = 173,125,742.45/11,897.10
  6. Step 6: Final answer
    x = 14,551.93

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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.