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Finding the Fourth Proportional to 7,875.30, 10,877.49 and 5,894.64

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Solution

The fourth proportional to 7,875.30, 10,877.49 and 5,894.64 is: 8,141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.30 : 10,877.49 = 5,894.64 : x
  2. Step 2: Convert to fraction form
    7,875.30/10,877.49 = 5,894.64/x
  3. Step 3: Cross multiply
    7,875.30x = 10,877.49 × 5,894.64
  4. Step 4: Simplify right side
    7,875.30x = 64,118,887.65
  5. Step 5: Solve for x
    x = 64,118,887.65/7,875.30
  6. Step 6: Final answer
    x = 8,141.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.