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Finding the Fourth Proportional to 10,482.04, 15,719.70 and 4,638.52

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Solution

The fourth proportional to 10,482.04, 15,719.70 and 4,638.52 is: 6,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.04 : 15,719.70 = 4,638.52 : x
  2. Step 2: Convert to fraction form
    10,482.04/15,719.70 = 4,638.52/x
  3. Step 3: Cross multiply
    10,482.04x = 15,719.70 × 4,638.52
  4. Step 4: Simplify right side
    10,482.04x = 72,916,142.84
  5. Step 5: Solve for x
    x = 72,916,142.84/10,482.04
  6. Step 6: Final answer
    x = 6,956.29

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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.