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Finding the Fourth Proportional to 10,064.60, 13,889.02 and 5,588.34

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Solution

The fourth proportional to 10,064.60, 13,889.02 and 5,588.34 is: 7,711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.60 : 13,889.02 = 5,588.34 : x
  2. Step 2: Convert to fraction form
    10,064.60/13,889.02 = 5,588.34/x
  3. Step 3: Cross multiply
    10,064.60x = 13,889.02 × 5,588.34
  4. Step 4: Simplify right side
    10,064.60x = 77,616,566.03
  5. Step 5: Solve for x
    x = 77,616,566.03/10,064.60
  6. Step 6: Final answer
    x = 7,711.84

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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.