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Finding the Fourth Proportional to 7,856.08, 10,851.14 and 5,875.63

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Solution

The fourth proportional to 7,856.08, 10,851.14 and 5,875.63 is: 8,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.08 : 10,851.14 = 5,875.63 : x
  2. Step 2: Convert to fraction form
    7,856.08/10,851.14 = 5,875.63/x
  3. Step 3: Cross multiply
    7,856.08x = 10,851.14 × 5,875.63
  4. Step 4: Simplify right side
    7,856.08x = 63,757,271.28
  5. Step 5: Solve for x
    x = 63,757,271.28/7,856.08
  6. Step 6: Final answer
    x = 8,115.66

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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.