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Finding the Fourth Proportional to 6,130.30, 8,461.59 and 4,006.15

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Solution

The fourth proportional to 6,130.30, 8,461.59 and 4,006.15 is: 5,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.30 : 8,461.59 = 4,006.15 : x
  2. Step 2: Convert to fraction form
    6,130.30/8,461.59 = 4,006.15/x
  3. Step 3: Cross multiply
    6,130.30x = 8,461.59 × 4,006.15
  4. Step 4: Simplify right side
    6,130.30x = 33,898,398.78
  5. Step 5: Solve for x
    x = 33,898,398.78/6,130.30
  6. Step 6: Final answer
    x = 5,529.65

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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.