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Finding the Fourth Proportional to 10,031.77, 13,840.13 and 6,496.93

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Solution

The fourth proportional to 10,031.77, 13,840.13 and 6,496.93 is: 8,963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.77 : 13,840.13 = 6,496.93 : x
  2. Step 2: Convert to fraction form
    10,031.77/13,840.13 = 6,496.93/x
  3. Step 3: Cross multiply
    10,031.77x = 13,840.13 × 6,496.93
  4. Step 4: Simplify right side
    10,031.77x = 89,918,323.32
  5. Step 5: Solve for x
    x = 89,918,323.32/10,031.77
  6. Step 6: Final answer
    x = 8,963.36

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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.