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Finding the Fourth Proportional to 11,558.70, 15,946.74 and 7,582.01

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Solution

The fourth proportional to 11,558.70, 15,946.74 and 7,582.01 is: 10,460.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.70 : 15,946.74 = 7,582.01 : x
  2. Step 2: Convert to fraction form
    11,558.70/15,946.74 = 7,582.01/x
  3. Step 3: Cross multiply
    11,558.70x = 15,946.74 × 7,582.01
  4. Step 4: Simplify right side
    11,558.70x = 120,908,262.41
  5. Step 5: Solve for x
    x = 120,908,262.41/11,558.70
  6. Step 6: Final answer
    x = 10,460.37

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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.