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Finding the Fourth Proportional to 10,756.84, 16,055.01 and 10,494.36

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Solution

The fourth proportional to 10,756.84, 16,055.01 and 10,494.36 is: 15,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.84 : 16,055.01 = 10,494.36 : x
  2. Step 2: Convert to fraction form
    10,756.84/16,055.01 = 10,494.36/x
  3. Step 3: Cross multiply
    10,756.84x = 16,055.01 × 10,494.36
  4. Step 4: Simplify right side
    10,756.84x = 168,487,054.74
  5. Step 5: Solve for x
    x = 168,487,054.74/10,756.84
  6. Step 6: Final answer
    x = 15,663.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.