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Finding the Fourth Proportional to 7,066.16, 10,599.76 and 1,872

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Solution

The fourth proportional to 7,066.16, 10,599.76 and 1,872 is: 2,808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.16 : 10,599.76 = 1,872 : x
  2. Step 2: Convert to fraction form
    7,066.16/10,599.76 = 1,872/x
  3. Step 3: Cross multiply
    7,066.16x = 10,599.76 × 1,872
  4. Step 4: Simplify right side
    7,066.16x = 19,842,750.72
  5. Step 5: Solve for x
    x = 19,842,750.72/7,066.16
  6. Step 6: Final answer
    x = 2,808.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.