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Finding the Fourth Proportional to 10,053.60, 15,082.20 and 4,210.80

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Solution

The fourth proportional to 10,053.60, 15,082.20 and 4,210.80 is: 6,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.60 : 15,082.20 = 4,210.80 : x
  2. Step 2: Convert to fraction form
    10,053.60/15,082.20 = 4,210.80/x
  3. Step 3: Cross multiply
    10,053.60x = 15,082.20 × 4,210.80
  4. Step 4: Simplify right side
    10,053.60x = 63,508,127.76
  5. Step 5: Solve for x
    x = 63,508,127.76/10,053.60
  6. Step 6: Final answer
    x = 6,316.95

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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.