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Finding the Fourth Proportional to 10,510.91, 14,505.21 and 5,730.86

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Solution

The fourth proportional to 10,510.91, 14,505.21 and 5,730.86 is: 7,908.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.91 : 14,505.21 = 5,730.86 : x
  2. Step 2: Convert to fraction form
    10,510.91/14,505.21 = 5,730.86/x
  3. Step 3: Cross multiply
    10,510.91x = 14,505.21 × 5,730.86
  4. Step 4: Simplify right side
    10,510.91x = 83,127,255.25
  5. Step 5: Solve for x
    x = 83,127,255.25/10,510.91
  6. Step 6: Final answer
    x = 7,908.67

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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.