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Finding the Fourth Proportional to 10,064.41, 13,889.13 and 5,587.93

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Solution

The fourth proportional to 10,064.41, 13,889.13 and 5,587.93 is: 7,711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.41 : 13,889.13 = 5,587.93 : x
  2. Step 2: Convert to fraction form
    10,064.41/13,889.13 = 5,587.93/x
  3. Step 3: Cross multiply
    10,064.41x = 13,889.13 × 5,587.93
  4. Step 4: Simplify right side
    10,064.41x = 77,611,486.20
  5. Step 5: Solve for x
    x = 77,611,486.20/10,064.41
  6. Step 6: Final answer
    x = 7,711.48

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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.