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Finding the Fourth Proportional to 7,445.70, 10,300.50 and 6,116.76

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Solution

The fourth proportional to 7,445.70, 10,300.50 and 6,116.76 is: 8,462.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445.70 : 10,300.50 = 6,116.76 : x
  2. Step 2: Convert to fraction form
    7,445.70/10,300.50 = 6,116.76/x
  3. Step 3: Cross multiply
    7,445.70x = 10,300.50 × 6,116.76
  4. Step 4: Simplify right side
    7,445.70x = 63,005,686.38
  5. Step 5: Solve for x
    x = 63,005,686.38/7,445.70
  6. Step 6: Final answer
    x = 8,462.02

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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.