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Finding the Fourth Proportional to 7,615.28, 10,510.38 and 4,430.42

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Solution

The fourth proportional to 7,615.28, 10,510.38 and 4,430.42 is: 6,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.28 : 10,510.38 = 4,430.42 : x
  2. Step 2: Convert to fraction form
    7,615.28/10,510.38 = 4,430.42/x
  3. Step 3: Cross multiply
    7,615.28x = 10,510.38 × 4,430.42
  4. Step 4: Simplify right side
    7,615.28x = 46,565,397.76
  5. Step 5: Solve for x
    x = 46,565,397.76/7,615.28
  6. Step 6: Final answer
    x = 6,114.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.