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Finding the Fourth Proportional to 6,590.10, 9,874.35 and 5,618.10

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Solution

The fourth proportional to 6,590.10, 9,874.35 and 5,618.10 is: 8,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.10 : 9,874.35 = 5,618.10 : x
  2. Step 2: Convert to fraction form
    6,590.10/9,874.35 = 5,618.10/x
  3. Step 3: Cross multiply
    6,590.10x = 9,874.35 × 5,618.10
  4. Step 4: Simplify right side
    6,590.10x = 55,475,085.74
  5. Step 5: Solve for x
    x = 55,475,085.74/6,590.10
  6. Step 6: Final answer
    x = 8,417.94

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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.