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Finding the Fourth Proportional to 10,055.61, 13,873.95 and 6,280.47

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Solution

The fourth proportional to 10,055.61, 13,873.95 and 6,280.47 is: 8,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.61 : 13,873.95 = 6,280.47 : x
  2. Step 2: Convert to fraction form
    10,055.61/13,873.95 = 6,280.47/x
  3. Step 3: Cross multiply
    10,055.61x = 13,873.95 × 6,280.47
  4. Step 4: Simplify right side
    10,055.61x = 87,134,926.76
  5. Step 5: Solve for x
    x = 87,134,926.76/10,055.61
  6. Step 6: Final answer
    x = 8,665.30

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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.