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Finding the Fourth Proportional to 12,582.90, 17,365.37 and 7,547.31

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Solution

The fourth proportional to 12,582.90, 17,365.37 and 7,547.31 is: 10,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.90 : 17,365.37 = 7,547.31 : x
  2. Step 2: Convert to fraction form
    12,582.90/17,365.37 = 7,547.31/x
  3. Step 3: Cross multiply
    12,582.90x = 17,365.37 × 7,547.31
  4. Step 4: Simplify right side
    12,582.90x = 131,061,792.92
  5. Step 5: Solve for x
    x = 131,061,792.92/12,582.90
  6. Step 6: Final answer
    x = 10,415.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.