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Finding the Fourth Proportional to 8,064.16, 11,130.84 and 4,707.76

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Solution

The fourth proportional to 8,064.16, 11,130.84 and 4,707.76 is: 6,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.16 : 11,130.84 = 4,707.76 : x
  2. Step 2: Convert to fraction form
    8,064.16/11,130.84 = 4,707.76/x
  3. Step 3: Cross multiply
    8,064.16x = 11,130.84 × 4,707.76
  4. Step 4: Simplify right side
    8,064.16x = 52,401,323.32
  5. Step 5: Solve for x
    x = 52,401,323.32/8,064.16
  6. Step 6: Final answer
    x = 6,498.05

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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.