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Finding the Fourth Proportional to 5,307.68, 7,960.64 and 1,412.16

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Solution

The fourth proportional to 5,307.68, 7,960.64 and 1,412.16 is: 2,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.68 : 7,960.64 = 1,412.16 : x
  2. Step 2: Convert to fraction form
    5,307.68/7,960.64 = 1,412.16/x
  3. Step 3: Cross multiply
    5,307.68x = 7,960.64 × 1,412.16
  4. Step 4: Simplify right side
    5,307.68x = 11,241,697.38
  5. Step 5: Solve for x
    x = 11,241,697.38/5,307.68
  6. Step 6: Final answer
    x = 2,118.01

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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.