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Finding the Fourth Proportional to 11,424.60, 15,764.28 and 6,710.40

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Solution

The fourth proportional to 11,424.60, 15,764.28 and 6,710.40 is: 9,259.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.60 : 15,764.28 = 6,710.40 : x
  2. Step 2: Convert to fraction form
    11,424.60/15,764.28 = 6,710.40/x
  3. Step 3: Cross multiply
    11,424.60x = 15,764.28 × 6,710.40
  4. Step 4: Simplify right side
    11,424.60x = 105,784,624.51
  5. Step 5: Solve for x
    x = 105,784,624.51/11,424.60
  6. Step 6: Final answer
    x = 9,259.37

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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.