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Finding the Fourth Proportional to 10,461.66, 15,696.60 and 4,614.18

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Solution

The fourth proportional to 10,461.66, 15,696.60 and 4,614.18 is: 6,923.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.66 : 15,696.60 = 4,614.18 : x
  2. Step 2: Convert to fraction form
    10,461.66/15,696.60 = 4,614.18/x
  3. Step 3: Cross multiply
    10,461.66x = 15,696.60 × 4,614.18
  4. Step 4: Simplify right side
    10,461.66x = 72,426,937.79
  5. Step 5: Solve for x
    x = 72,426,937.79/10,461.66
  6. Step 6: Final answer
    x = 6,923.08

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