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Finding the Fourth Proportional to 8,390.40, 12,590.40 and 5,795.20

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Solution

The fourth proportional to 8,390.40, 12,590.40 and 5,795.20 is: 8,696.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.40 : 12,590.40 = 5,795.20 : x
  2. Step 2: Convert to fraction form
    8,390.40/12,590.40 = 5,795.20/x
  3. Step 3: Cross multiply
    8,390.40x = 12,590.40 × 5,795.20
  4. Step 4: Simplify right side
    8,390.40x = 72,963,886.08
  5. Step 5: Solve for x
    x = 72,963,886.08/8,390.40
  6. Step 6: Final answer
    x = 8,696.12

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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.