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Finding the Fourth Proportional to 10,563.36, 15,840.18 and 5,946.36

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Solution

The fourth proportional to 10,563.36, 15,840.18 and 5,946.36 is: 8,916.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.36 : 15,840.18 = 5,946.36 : x
  2. Step 2: Convert to fraction form
    10,563.36/15,840.18 = 5,946.36/x
  3. Step 3: Cross multiply
    10,563.36x = 15,840.18 × 5,946.36
  4. Step 4: Simplify right side
    10,563.36x = 94,191,412.74
  5. Step 5: Solve for x
    x = 94,191,412.74/10,563.36
  6. Step 6: Final answer
    x = 8,916.80

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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.