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Finding the Fourth Proportional to 7,758.24, 10,710 and 4,965.36

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Solution

The fourth proportional to 7,758.24, 10,710 and 4,965.36 is: 6,854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.24 : 10,710 = 4,965.36 : x
  2. Step 2: Convert to fraction form
    7,758.24/10,710 = 4,965.36/x
  3. Step 3: Cross multiply
    7,758.24x = 10,710 × 4,965.36
  4. Step 4: Simplify right side
    7,758.24x = 53,179,005.60
  5. Step 5: Solve for x
    x = 53,179,005.60/7,758.24
  6. Step 6: Final answer
    x = 6,854.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.