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Finding the Fourth Proportional to 7,876.16, 11,810.34 and 4,590.08

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Solution

The fourth proportional to 7,876.16, 11,810.34 and 4,590.08 is: 6,882.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.16 : 11,810.34 = 4,590.08 : x
  2. Step 2: Convert to fraction form
    7,876.16/11,810.34 = 4,590.08/x
  3. Step 3: Cross multiply
    7,876.16x = 11,810.34 × 4,590.08
  4. Step 4: Simplify right side
    7,876.16x = 54,210,405.43
  5. Step 5: Solve for x
    x = 54,210,405.43/7,876.16
  6. Step 6: Final answer
    x = 6,882.85

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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.