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Finding the Fourth Proportional to 10,368.16, 15,552.30 and 2,577

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Solution

The fourth proportional to 10,368.16, 15,552.30 and 2,577 is: 3,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.16 : 15,552.30 = 2,577 : x
  2. Step 2: Convert to fraction form
    10,368.16/15,552.30 = 2,577/x
  3. Step 3: Cross multiply
    10,368.16x = 15,552.30 × 2,577
  4. Step 4: Simplify right side
    10,368.16x = 40,078,277.10
  5. Step 5: Solve for x
    x = 40,078,277.10/10,368.16
  6. Step 6: Final answer
    x = 3,865.51

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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.