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Finding the Fourth Proportional to 6,127.66, 8,460.93 and 4,709.10

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Solution

The fourth proportional to 6,127.66, 8,460.93 and 4,709.10 is: 6,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,127.66 : 8,460.93 = 4,709.10 : x
  2. Step 2: Convert to fraction form
    6,127.66/8,460.93 = 4,709.10/x
  3. Step 3: Cross multiply
    6,127.66x = 8,460.93 × 4,709.10
  4. Step 4: Simplify right side
    6,127.66x = 39,843,365.46
  5. Step 5: Solve for x
    x = 39,843,365.46/6,127.66
  6. Step 6: Final answer
    x = 6,502.22

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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.