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Finding the Fourth Proportional to 10,070.79, 13,898.78 and 6,094.09

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Solution

The fourth proportional to 10,070.79, 13,898.78 and 6,094.09 is: 8,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.79 : 13,898.78 = 6,094.09 : x
  2. Step 2: Convert to fraction form
    10,070.79/13,898.78 = 6,094.09/x
  3. Step 3: Cross multiply
    10,070.79x = 13,898.78 × 6,094.09
  4. Step 4: Simplify right side
    10,070.79x = 84,700,416.21
  5. Step 5: Solve for x
    x = 84,700,416.21/10,070.79
  6. Step 6: Final answer
    x = 8,410.50

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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.