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Finding the Fourth Proportional to 7,796.48, 11,681.52 and 4,712

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Solution

The fourth proportional to 7,796.48, 11,681.52 and 4,712 is: 7,060.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.48 : 11,681.52 = 4,712 : x
  2. Step 2: Convert to fraction form
    7,796.48/11,681.52 = 4,712/x
  3. Step 3: Cross multiply
    7,796.48x = 11,681.52 × 4,712
  4. Step 4: Simplify right side
    7,796.48x = 55,043,322.24
  5. Step 5: Solve for x
    x = 55,043,322.24/7,796.48
  6. Step 6: Final answer
    x = 7,060.02

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Why These Related Problems?

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