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Finding the Fourth Proportional to 11,430.69, 17,130.47 and 6,435.45

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Solution

The fourth proportional to 11,430.69, 17,130.47 and 6,435.45 is: 9,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.69 : 17,130.47 = 6,435.45 : x
  2. Step 2: Convert to fraction form
    11,430.69/17,130.47 = 6,435.45/x
  3. Step 3: Cross multiply
    11,430.69x = 17,130.47 × 6,435.45
  4. Step 4: Simplify right side
    11,430.69x = 110,242,165.33
  5. Step 5: Solve for x
    x = 110,242,165.33/11,430.69
  6. Step 6: Final answer
    x = 9,644.40

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