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Finding the Fourth Proportional to 10,871.60, 16,160.81 and 10,552.32

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Solution

The fourth proportional to 10,871.60, 16,160.81 and 10,552.32 is: 15,686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.60 : 16,160.81 = 10,552.32 : x
  2. Step 2: Convert to fraction form
    10,871.60/16,160.81 = 10,552.32/x
  3. Step 3: Cross multiply
    10,871.60x = 16,160.81 × 10,552.32
  4. Step 4: Simplify right side
    10,871.60x = 170,533,985.82
  5. Step 5: Solve for x
    x = 170,533,985.82/10,871.60
  6. Step 6: Final answer
    x = 15,686.20

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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.