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Finding the Fourth Proportional to 10,060.64, 13,878.06 and 6,419.88

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Solution

The fourth proportional to 10,060.64, 13,878.06 and 6,419.88 is: 8,855.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,060.64 : 13,878.06 = 6,419.88 : x
  2. Step 2: Convert to fraction form
    10,060.64/13,878.06 = 6,419.88/x
  3. Step 3: Cross multiply
    10,060.64x = 13,878.06 × 6,419.88
  4. Step 4: Simplify right side
    10,060.64x = 89,095,479.83
  5. Step 5: Solve for x
    x = 89,095,479.83/10,060.64
  6. Step 6: Final answer
    x = 8,855.85

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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.