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Finding the Fourth Proportional to 7,248.13, 10,876.14 and 4,784.11

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Solution

The fourth proportional to 7,248.13, 10,876.14 and 4,784.11 is: 7,178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,248.13 : 10,876.14 = 4,784.11 : x
  2. Step 2: Convert to fraction form
    7,248.13/10,876.14 = 4,784.11/x
  3. Step 3: Cross multiply
    7,248.13x = 10,876.14 × 4,784.11
  4. Step 4: Simplify right side
    7,248.13x = 52,032,622.95
  5. Step 5: Solve for x
    x = 52,032,622.95/7,248.13
  6. Step 6: Final answer
    x = 7,178.77

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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.