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Finding the Fourth Proportional to 7,885.15, 11,803.12 and 5,807.50

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Solution

The fourth proportional to 7,885.15, 11,803.12 and 5,807.50 is: 8,693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.15 : 11,803.12 = 5,807.50 : x
  2. Step 2: Convert to fraction form
    7,885.15/11,803.12 = 5,807.50/x
  3. Step 3: Cross multiply
    7,885.15x = 11,803.12 × 5,807.50
  4. Step 4: Simplify right side
    7,885.15x = 68,546,575.37
  5. Step 5: Solve for x
    x = 68,546,575.37/7,885.15
  6. Step 6: Final answer
    x = 8,693.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.