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Finding the Fourth Proportional to 7,082.16, 10,623.28 and 1,888.08

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Solution

The fourth proportional to 7,082.16, 10,623.28 and 1,888.08 is: 2,832.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.16 : 10,623.28 = 1,888.08 : x
  2. Step 2: Convert to fraction form
    7,082.16/10,623.28 = 1,888.08/x
  3. Step 3: Cross multiply
    7,082.16x = 10,623.28 × 1,888.08
  4. Step 4: Simplify right side
    7,082.16x = 20,057,602.50
  5. Step 5: Solve for x
    x = 20,057,602.50/7,082.16
  6. Step 6: Final answer
    x = 2,832.13

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Why These Related Problems?

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