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Finding the Fourth Proportional to 8,064.51, 11,127.07 and 4,705.40

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Solution

The fourth proportional to 8,064.51, 11,127.07 and 4,705.40 is: 6,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.51 : 11,127.07 = 4,705.40 : x
  2. Step 2: Convert to fraction form
    8,064.51/11,127.07 = 4,705.40/x
  3. Step 3: Cross multiply
    8,064.51x = 11,127.07 × 4,705.40
  4. Step 4: Simplify right side
    8,064.51x = 52,357,348.88
  5. Step 5: Solve for x
    x = 52,357,348.88/8,064.51
  6. Step 6: Final answer
    x = 6,492.32

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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.