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Finding the Fourth Proportional to 6,044.61, 9,056.19 and 5,158.11

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Solution

The fourth proportional to 6,044.61, 9,056.19 and 5,158.11 is: 7,728.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,044.61 : 9,056.19 = 5,158.11 : x
  2. Step 2: Convert to fraction form
    6,044.61/9,056.19 = 5,158.11/x
  3. Step 3: Cross multiply
    6,044.61x = 9,056.19 × 5,158.11
  4. Step 4: Simplify right side
    6,044.61x = 46,712,824.20
  5. Step 5: Solve for x
    x = 46,712,824.20/6,044.61
  6. Step 6: Final answer
    x = 7,728.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.