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Finding the Fourth Proportional to 7,362.63, 10,146.20 and 4,705.43

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Solution

The fourth proportional to 7,362.63, 10,146.20 and 4,705.43 is: 6,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.63 : 10,146.20 = 4,705.43 : x
  2. Step 2: Convert to fraction form
    7,362.63/10,146.20 = 4,705.43/x
  3. Step 3: Cross multiply
    7,362.63x = 10,146.20 × 4,705.43
  4. Step 4: Simplify right side
    7,362.63x = 47,742,159.61
  5. Step 5: Solve for x
    x = 47,742,159.61/7,362.63
  6. Step 6: Final answer
    x = 6,484.39

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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.