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Finding the Fourth Proportional to 8,582.40, 12,870.40 and 2,424.32

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Solution

The fourth proportional to 8,582.40, 12,870.40 and 2,424.32 is: 3,635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.40 : 12,870.40 = 2,424.32 : x
  2. Step 2: Convert to fraction form
    8,582.40/12,870.40 = 2,424.32/x
  3. Step 3: Cross multiply
    8,582.40x = 12,870.40 × 2,424.32
  4. Step 4: Simplify right side
    8,582.40x = 31,201,968.13
  5. Step 5: Solve for x
    x = 31,201,968.13/8,582.40
  6. Step 6: Final answer
    x = 3,635.58

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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.