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Finding the Fourth Proportional to 10,510.08, 14,503.76 and 5,794.24

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Solution

The fourth proportional to 10,510.08, 14,503.76 and 5,794.24 is: 7,995.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.08 : 14,503.76 = 5,794.24 : x
  2. Step 2: Convert to fraction form
    10,510.08/14,503.76 = 5,794.24/x
  3. Step 3: Cross multiply
    10,510.08x = 14,503.76 × 5,794.24
  4. Step 4: Simplify right side
    10,510.08x = 84,038,266.34
  5. Step 5: Solve for x
    x = 84,038,266.34/10,510.08
  6. Step 6: Final answer
    x = 7,995.97

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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.