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Finding the Fourth Proportional to 7,346.85, 10,139.57 and 4,552.77

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Solution

The fourth proportional to 7,346.85, 10,139.57 and 4,552.77 is: 6,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.85 : 10,139.57 = 4,552.77 : x
  2. Step 2: Convert to fraction form
    7,346.85/10,139.57 = 4,552.77/x
  3. Step 3: Cross multiply
    7,346.85x = 10,139.57 × 4,552.77
  4. Step 4: Simplify right side
    7,346.85x = 46,163,130.11
  5. Step 5: Solve for x
    x = 46,163,130.11/7,346.85
  6. Step 6: Final answer
    x = 6,283.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.