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Finding the Fourth Proportional to 10,662.16, 15,886.04 and 10,066

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Solution

The fourth proportional to 10,662.16, 15,886.04 and 10,066 is: 14,997.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.16 : 15,886.04 = 10,066 : x
  2. Step 2: Convert to fraction form
    10,662.16/15,886.04 = 10,066/x
  3. Step 3: Cross multiply
    10,662.16x = 15,886.04 × 10,066
  4. Step 4: Simplify right side
    10,662.16x = 159,908,878.64
  5. Step 5: Solve for x
    x = 159,908,878.64/10,662.16
  6. Step 6: Final answer
    x = 14,997.79

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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.